Trigonometric Functions using Acute Angle Problem: To unload hollow blocks from a cargo truck, a wooden plank whose end rests against the truck’s platform 1.5 meters above the ground is used. If it is inclined 37° 49’ with the ground, how long is the wooden plank?

Trigonometric Functions using Acute Angle Problem: To unload hollow blocks from a cargo truck, a wooden plank whose end rests against the truck’s platform 1.5 meters above the ground is used. If it is inclined 37° 49’ with the ground, how long is the wooden plank?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.CR: Chapter Review

Problem 48E: Values of Trigonometric Functions Find the six trigonometric ratios of the angle in standard...

See similar textbooks

Related questions

Q: 12. A six-foot person walks from the base of a streetlight directly toward the tip of the shadow…

Q: Seeing that the cosine is positive and the tangent is negative, in which quadrant must theta lie?…

A: Here given the value of cos θ and we ned to find the value of tan θ. It is mentioned that tan θ is…

Q: 2. An accident occurred about 76 meters away from a building has two surveillance cameras in…

A: part (a): Let the distance AB = 76m, the point A point represents the accident site and the…

Q: a. arccos 1 c. arcsin (2 sqrt/2)

A: As per our guideline i am supposed to answer only question from these three question .Please re-post…

Q: See attachment

A: The length of the ramp is 13 ft and the height of the platform is 10 ft.

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit…

A: rcosθ = -5/13 rsinθ = 12/13

Q: A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 5 ft. away from the…

A: We use Trigonometry ratios

Q: An arc of length 105 ft subtends a central angle 0 in a circle of radius 35 ft. Find the measure of…

Q: Using lengths a, b, and c in the right triangle shown, how are the trigonometric functions of 0…

Q: A triangle is circumscribed within the lower semicircle shown. Use the law of sines to solve the…

A: According to the given information, A group of hikers notes the angle of elevation to the summit of…

Q: Problem: A bamboo pole is broken at a point 2.3 meters above the ground, and the end of the pole…

Q: The unit circle is a type of circle centered at with radius The equation of the unit circle is The…

A: We have to fill in the blanks.

Q: Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated…

Q: Use reference triangles in an appropriate quadrant, to find the angles. Remember that arcsin and…

Q: You are a tutor. A student comes to ask you for help. They cannot use a calculator on their exams…

A: To compue the value of sin7π6 without using the calculator.

Q: Use the trigonometric facts and the quotient rule to derive the formula for the deriva- tive of…

A: The given function is f(x)=cot x

Q: 11) Guyed Wire between two buildings. A building contractor wants to install a two building owed by…

A: To calculate the length of the guyed wire between the two buildings.

Q: Consider the angle shown below that has a radian measure of 0 (where 0 > 0). A circle is centered at…

A: In the given circle, centered at 'O' OA = radius 'r' of the circle, say 'r' In Right angles…

Q: The terminal side of 0 lies on the given line in the specified quadrant. Find the values of the six…

A: Sinθ and Cosecθ is positive in 1st and 2nd quadrant Cosθ and Secθ is positive in 1st and 4th…

Q: Question The terminal side of angle 0 intersects the unit circle in the first quadrant at (, y).…

A: Given

Q: olve using the trigonometric or inverse trigonometric functions show illustration, define variables…

A: Given: To find the point which the line y =b does the line segment from 0 to a subtend the greatest…

Q: The point P(-5,0) is on the terminal arm of an angle θ. a) Sketch the terminal arm in standard…

A: We have to sketch and find the trigonometric ratios.

Q: Activity 7: My Part Find the missing part of a right triangle using the trigonometric ratios. Show…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Solve the problem using trigonometric or inverse trigonometric functions. Show illustration, define…

A: Here we have been given the line y = b and the coordinates given to us is (0,0) and (a, 0) such as…

Q: Question The terminal side of angle 0 intersects the unit circle in the first quadrant at (, y).…

Q: A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to…

Q: A 17 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the…

Q: An angle 0 has cos 0 = –3/5 and tan 0 > 0. a. What Quadrant is 0 in? b. What are the coordinates of…

Q: Hospital 63° 500m 90 House School 1. In relation to 0 = 63°, what trigonometric function (sine,…

A: We have to find the trignometric function representing the ratio.

Q: Find the trigonometric function value of angle 0. (Include a triangle in your written work.) Cos e =…

Q: 6. The terminal arm of an angle, 0, in standard position passes through A(-1, 4). Which of the…

Q: ship leaves port traveling southwest at a rate of 12 mi>hr. At noon, the ship reaches its closest…

A: A ship leaves port traveling southwest at a rate of 12 mi>hr. At noon, the ship reaches its…

Q: An accident occurred about 76 meters away from a building has two surveillance camerasin different…

Q: True or False: The sine and cosine trigonometric functions are graphed using the coordinates of…

A: yes this is true ,

Q: A 15 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft away from the…

A: Here the ladder- ground- wall constitutes a right angled triangle. So to find angle of elevation of…

Q: 1. The point P(-6, 3) lies on the terminal arm of an angle, 0, in standard position. a) Sketch 20 in…

Q: Find the values of the trigonometric functions of t from the given information. sec(t) = 2,…

A: Given:

Q: a 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground find…

A: A 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground. The…

Q: A teenager at a distance (30+ A)meters from the foot of a building,watching the top of the building…

A: It is given that, the teenager is at a distance (30+A) from the foot of building. Considering that…

Q: 3. A 60-foot ramp rises from the first floor to the second floor of a parking garage. The ramp makes…

A: (3)

Q: A 15 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft away from the…

Q: Using lengths a, b, and c in the right triangle shown, how are the trigonometric functions of e…

A: Right Triangle ABC with its side lengths a, b, c are given

Q: See attached

A: Let the length of the ladder be x feet.

Q: line of sight tower height 25 distance from tower to fire A person in a lookout tower sees a fire.…

Q: 1. The point P(-6, 3) lies on the terminal arm of an angle, 0, in standard position. a) Sketch 20 in…

Q: cot theta = negative sqrt(3/7) given that theta is in quadrant iii Provide solution for all…

Q: c) Given that tan 0- and that sin@< 0, find the exact values of cot 0 and seco. Make a sketch…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A. Using the right triangle AABC shown on the right, find the values of all six trigonometric…

Q: Two planes leave from the same airport at the same time. One flies at a bearing of N25°W with a…

A: According to question given thatOne plane flies at a bearing N25°W with the speed of 450 mi/hrOther…

Q: The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff…

A: Cliff and light house height is given.We need to find the distance of the boat from the foot of the…

Question

Trigonometric Functions using Acute Angle

Problem:
To unload hollow blocks from a cargo truck, a wooden plank whose end rests against the truck’s platform 1.5 meters above the ground is used. If it is inclined 37° 49’ with the ground, how long is the wooden plank?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hills is 58. A guy wire is to be attached to the top of the tower and to the ground, 100 m downhill from the base of the tower. The angle in the figure is determined to be 12. Find the length of the cable required for the guy wire.
Geometry Use a compass to sketch a quarter of a circle of radius 10 centimeters. Using a protractor, construct an angle of 20 in standard position (see figure). Drop a perpendicular line from the point of intersection of the terminal side of the angle and the arc of the circle. By actual measurement, calculate the coordinates x,y of the point of intersection and use these measurements to approximate the six trigonometric functions of a 20 angle.
Height of a Tower A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 132 feet from the tower and 3 feet from the tip of the shadow, the person’s shadow starts to appear beyond the tower’s shadow. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the tower. (b) Use a trigonometric function to write an equation involving the unknown quantity. (c) What is the height of the tower?
Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75 from the horizontal. An observer 600 m away measures the angle of elevation to the spot of light to be 45. Find the height h of the cloud cover.
Values of Trigonometric Functions Find the six trigonometric ratios of the angle in standard position if its termial side is in Quadrant III and is parallel to the line 4y-2x-1=0.
Hours of Daylight Table 6 shows the number of hours of daylight for the city of San Luis Obispo, California, at certain numbers of days into the year. A graph of the data is given in Figure 19, where we have used d to represent the day (with d = 1 corresponding to January 1) and h the number of hours of daylight. Find the equation of a trigonometric function to use as a model for these data.
Using the Unit Circle Use the unit circle to verify that the cosine and secant functions are even and that the sine, cosecant, tangent, and cotangent functions are odd.
Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Find the exact values of the six trigonometric functions of the angle shown in the figure.
Refraction When you stand in shallow water and look at an object below the surface of the water, the object will look farther away from you than it really is. This is because when light rays pass between air and water, the water refracts, or bends, the light rays. The index of refraction for water is 1.333. This is the ratio of the sine of 1 and the sine of 2 (see figure). (a) While standing in water that is 2 feet deep, you look at a rock at angle 1=60 (measured from a line perpendicular to the surface of the water). Find 2. (b) Find the distances x and y. (c) Find the distance d between where the rock is and where it appears to be. (d) What happens to d as you move closer to the rock? Explain.
Similar Triangles and Trigonometric Functions Use the figure below. (a) Explain why ABC,ADE, and AFG are similar triangles. (b) What does similarity imply about the ratios BCAB,DEAD,andFGAF? (c) Does the value of sinA depend on which triangle from part a is used to calculate it? Does the value of sinA change when you use a different right triangle similar to the three given triangles? (d) Do your conclusions from part c apply to the other five trigonometric functions? Explain.
Height of a Balloon A 680-ft rope anchors a hot-air balloon as shown in the figure. a Express the angle as a function of the height h of the balloon . b Find the angle if the balloon is 500 ft high.