. A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the sun?

Q: 4. Suppose that the angle of elevation of the sun is 23.4. Find the length of the shadow cast by…

A:

Q: The radius of circle B is 10 mm and the central angle of ABC is 75°. what is the area of the…

A: Given: Given: r = 10 mm θ = 75o

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How…

A:

Q: that appears obtuse is obtuse. 15 /12 250 A= degrees

A:

Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

A:

Q: A lawn sprinkler has been set to rotate through an angle of 150° and project water out to 13 feet.…

A: Given that the sprinkler project water out to 13 feet. So radius= r= 13 feet Central angle=θ=150°

Q: Find the measurement of the angle indicated for each trapezoid. 1) M 120°

A: The solution is :

Q: The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel…

A: Use the property of circle and clock

Q: 2) Calculate how far from the base of the tower Zachary placed the ladder. (hint: Youll need the top…

A: Topic:- geometry and trigonometry

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

A:

Q: 3) Sketch a 120° and a -45° angle on the unit circle below

A:

Q: Find the ratio of the Sece of the given right triangle. 13 12 5.

A: Given : Right triangle Find :        sec θ Solution:    From the given right triangle,…

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees.…

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A…

Q: If a 22.5 meter building casts a 34-meter shadow, what is the angle of elevation of the sun? Round…

A:

Q: 4.  Find the area of the circular sector given a central angle of pi/5 and a radius of 3 inches.

A:

Q: A surveyor uses the triangles shown in the diagram to measure the distance

A: It is given that,  Here we have to find the distance across the pond.

Q: How long is the side adjacent to angle A?

A:

Q: What is the distance from A to B

A:

Q: A traffic light weighing 22 pounds is suspended by two wiresas shown in Figure 10. Find the…

A: We draw a triangle based on the given image value of w is 22

Q: From a satellite 500 mi above the earth, it is observed that the angle formed by the vertical and…

A: The given question can be solved as shown in step2.

Q: What’s the length of an arc intercepted by a central angle of 46o with a radius of 31.4cm?

A: The given angle is θ=46° and radius is r=31.4 cm.   Formula used: Arc length=2πrθ360

Q: Triangle RST was dilated to create triangle R'ST, as shown on the coordinate grid below. Which…

A: In triangle RST  RT= 4 units In triangle R'S'T'  R'T' =10 units

Q: What is the altitude of an airplane if the angle of depression to an airport 11 miles away is 5°?…

A:

Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

A:

Q: 9 mi 7 mi N 65 mi

A: The given sides of the triangle are: 7mi, 9mi, 65mi The biggest side is: 9 And, the other two sides…

Q: 18. Find the length of the hypotenuse of a right triangle with a leg of length 34 inches and a 25°…

A:

Q: Given this triangle, what is the value of sec B?

A: Given Triangle is sec B =?

Q: A rescue helicopter hovers at an altitude of 525m over to fishing boats. if an angle of depression…

A: Given that,                 Altitude of helicopter=525m                 angle of depression from the…

Q: Evaluate the area of the sector of a circle if its radius is 9.4 cm and the angle subtended at the…

A:

Q: 8 cm 50

A:

Q: The distance from New York to Seattle is 1/10 of the total distance around the earth. if the radius…

A: Distance from Newyork to Seattle is 2512 miles.

Q: A minute hand of a clock has a length of 15cm. How long will it sweep out an angle of 105°

A: A minute hand of a clock has a length of 15cm. The area it will sweep at an angle of 105° , is…

Q: Find the largest angle of ABCD. C 22 mi 15 mi 23 mi D.

A: Angle opposite to largest side is larger.So, ∠C is largest.By law of CosinecosC=BC2+CD2-BD22(BC)(CD)

Q: Find the measure of the indicated angle.

A:

Q: Give the following line segment lengths, would a triangle made from these segments be acute, right,…

A:

Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

A:

Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

A: Use the unitary method to convert the minutes and seconds into decimals.…

Q: Two boats start their journey from the same point A and travel along directions AC and AD, as shown…

A: tanθ=oppositeadjacent

Q: Find the measure of the central angle of an arc if its length is 14n and the radius is 18 m.

A:

Q: Find the measure of the indicated angle round to the nearest tenth

A: I have given my answer in step 2.

Q: o find the size of the angle marked x,

A:

Q: The minute hand and the hour hand of a clock have lengths m inches and h inches, respectively.…

A: Given the length of minute hand be m inches and length of hour hand be h inches. We know that a…

Q: В а A C b

A:

Q: How do you solve this question and can you show me step by step how you got it?

A: Given,

Q: what is the radius of a circle that has a sector area of 3π cm^2 and a central angle of 2π/3…

A:

Q: Estimate the value of 0 in the following triangle to the nearest tenth of a degree: 19 8

A:

Q: 12. 10.5 ft 8.0 ft

A: We can calculate this by finding third side by Pythagoras theorem and then calculate angle in degree…

Q: Find the area of a sector of a circle of radius 10, subtended by an angle of 1.5 rad? What if the…

A: Given- Circle of radius=10 cm, angle= 1.5 rad and angle=1.5°. To find- The area of the sector of the…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.