how to do b)ii) ? The diagram below shows 3 ships departing Pont A towards Points B, C and D.The first ship travels at a bearing of 036° from A towards B.The second ship travels 28 km from A towards Cand the third ship travels 46 km at abearing of 197° from A towards D.a) 45"= 46*+28* - 2(4)(28) cos PAC125pAc= 10-14299b) LBACE 197-70-14299-36- 90.85701,46 km28 D70.142928 kmBC 41.8406645 kmN 41-1c) T?0-1546(a)AIt is given that the distance between D and C is 45 km and angle ABC = 42.Find?=0-12043(1)angle DAC,(i)the distance between B and C.(b) A lighthouse is at Point D.The angle of depression of A from the top of the lighthouse is 0.15°.Calculate(1)the height of the lighthouse,(il)the greatest angle of elevation of the top of the lighthouse from a point onthe line AC, leaving your answer in 2 decimal places.

Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Answered: (i) the greatest angle of elevation of…

(i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC, leaving your answer in 2 decimal places.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

See similar textbooks

Related questions

Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: How would you explain the meaning of the sine function toa fellow student who has just completed…

A: The most intelligent approach for this discussion I believe would revolve around the right triangle…

Q: Choose the function that could be used to find the measure of angle A. cos COs sin sin

A: in given triangle

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

Q: Find a possible formula for the trigonometric function who values are in the following table. 1 2 3…

A: trignometric function are

Q: A cellular telephone tower that is 110 feet tall is placed on top of a mountain that is 1200 feet…

Q: In a right triangle, the longer leg is exactly v3 times the length of the shorter leg. Use the…

A: Given, Longer leg is exactly 3 times the length of the shorter leg. Using the inverse tangent…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 4x - y = 2, 3x + y…

Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

Q: Find a possible formula for the trigonometric function whose values are in the following table. 4. y…

Q: A hawk is sitting on top of a tree that is 15 ft. high. It is watching a rabbit that is 18ft. from…

Q: The sine of an angle is equal to 0.362. What is the value of tangent for this angle? Express your…

Q: True or False The angular speed v of an object traveling ona circle of radius r is the angle u…

A: Given: The angular speed v of an object traveling on a circle of radius r is the angle u (measured…

Q: An airplane is flying at a constant altitude of 3 miles and a constant speed of 500 miles per hour…

Q: Determine the exact coordinate of a point at a distance of 4 units from the origin in the second…

Q: You stand 50 inches from the base of the lamp post with a height of 130 inches. Find the angle of…

A: Given base is 50 inches from you andheight of lamp post is 130 inchesWe need to find angle of…

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0<θ<π2

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

Q: Find the acute angle to the nearest degree between the vertical lin x = 2 and 3x -2y + 1= 0

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of -…

A: Given Diameter (d) = 14 m And central angle (θ) =3π/4 radians

Q: An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

A: Form the right triangle and use trigonometric ratios.

Q: A hummingbird is flying toward a large tree that has aradius of 6 feet When it is 31 feet from the…

A: Given figure is

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

Q: The top end of a ladder slides down a vertical wall as its bottom end slides across a horizontal…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

Q: В

Q: Simplify sin(x−π/2) to a single trig function using a sum or difference of angles identity.

A: Given expression

Q: A 45-foot wooden ladder leans against the wall of the castle so that the angle between the ground…

Q: How is the pythagorean theorem related to distance formula?

A: Consider the provided information, We know that the Pythagorean theorem is defined as, c2=a2+b2 So,…

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

Q: Find the angle (in radians and degrees) between the lines. Round your answer to four decimal places…

A: If two non perpendicular lines have slopes m1 and m2 then the angle between these two lines is given…

Q: You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the…

A: Draw the whole situation and mention the angle, hight given than use tangent ratio in the right…

Q: satellite is orbiting the earth at 20,000 mph. If the radius of the orbit is 4,300 miles, what is…

Q: it is the positive acute angle formed by the terminal side of a given angle and its x axis

A: Topic = Geometry

Q: If you know the cotangent value for a given angle, how can you find the tangent value for that same…

A: The solution is :

Q: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 31°.…

Q: An object is traveling around a circle with a radius of 6 centimeters. If in 20 seconds a central…

Q: A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to…

A: Given that height of building=20 meter a woman standing 15 meters away find the angle she is…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 4x - y = 4, 9x + y…

Q: The shadow of a red-pine tree in northern Minnesota is 131 feet long when the angle of depression…

Q: An object is traveling around a circle with a radius of 8 feet.If in 40 seconds a central angle of…

A: Angular speed , ω =Angle Time = θT Linear speed, v = ω.r ; where 'r' is radius and 'ω' is Angular…

Q: A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The…

Q: cos Sin?

A: Q5. Y=cos2x/2 - sin2x/2

Q: From the top of a 45-m high building, an observer sees a car heading toward the building at an angle…

A: AB = height of the building = 45 m The first angle of depression, ∠EAC =∠ACB = 15° As the car…

Q: The sine of an angle is equal to 0.75. What is the value of tangent for this angle? Express your…

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A: given is you person are headed toward a plateau 40 m high and the angle of elevation to the top of…

Question

how to do b)ii) ?

The diagram below shows 3 ships departing Pont A towards Points B, C and D.
The first ship travels at a bearing of 036° from A towards B.
The second ship travels 28 km from A towards Cand the third ship travels 46 km at a
bearing of 197° from A towards D.
a) 45"= 46*+28* - 2(4)(28) cos PAC
125
pAc= 10-14299
b) LBACE 197-70-14299-36
- 90.85701,
46 km
28 D
70.1429
28 km
BC 41.84066
45 km
N 41-1
c) T
?
0-15
46
(a)
A
It is given that the distance between D and C is 45 km and angle ABC = 42.
Find
?=0-12043
(1)
angle DAC,
(i)
the distance between B and C.
(b) A lighthouse is at Point D.
The angle of depression of A from the top of the lighthouse is 0.15°.
Calculate
(1)
the height of the lighthouse,
(il)
the greatest angle of elevation of the top of the lighthouse from a point on
the line AC, leaving your answer in 2 decimal places.

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

SEE SOLUTION Check out a sample Q&A here

Similar questions

Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On the basis of the appearance of your construction, what seems to be true?
Holes are to be drilled in the length of angle iron as shown in Figure 38-1. What is thedistance between two consecutive holes?
In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the relationship between AED and FDE? We will prove this relationship later. b what does intuition suggest regarding AED and EBF.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
A windshield wiper rotates through a 1200 angle as it cleans a windshield. From the point of rotation, the wiper blade begins at a distance of 4 in. and ends at a distance of 18 in. The wiper blade is 14 in. in length. Find the area cleaned by the wiper blade.