A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above.  The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above.  How tall does the light tower need to be if the angle of depression is 51°?

Q: Juan is looking up to the top of a tree that is 31 feet fallHe is standing 20 feet from the tree as…

A:

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

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Q: A telegraph pole is supported by two guy wires which run from the top of the pole to the ground on…

A: Given:- A telegraph pole is supported by two guy wires which run from the top of the pole to the…

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

A: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

Q: Spiderman is shooting webs at a lamp post. The first web is 14 meters long hits the to lamp post.…

A: We will use trigonometric Ratio to find the distance.

Q: Find the smallest angle, in radians to 2 decimal places, in a right-angled triangle with longest…

A: Given right angle triangle so use Pythagoras theorem  to find the third side.. Then  infront of…

Q: Calculate the height of the two buildings in the figure.

A: In a right angled triangle, the tangent of an angle is given by :…

Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: You are 50 feet from the screen at a drive-in movie. Your eyes are 3.5 feet above the ground and 50…

A:

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: The leaning tower of Pisa in Italy is 55.9 m tall and is leaned at an angle of 86˚ with the ground.…

A:

Q: Find the angle of elevation of a kite on a 50m string flying 40m vertically above the ground.…

A: angle of elevation of a kite on a 50m string flying 40m vertically above the ground

Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: When the angle of elevation of the sun is 62 degrees, the shadow east by a vertical pole is 10m…

A:

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: A person stands on the top of a 165165 foot tall cliff looking at a boat out on the water. The angle…

A: A person stands on the top of a 165165-foot tall cliff looking at a boat out on the water. The angle…

Q: Elmo standing in front of a building and  observes a sign that is 10 feet tall at the top. Refer to…

A: Elmo standing in front of a building and observes a sign that is 10 feet tall at the top.To…

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.