# geometry

Kendra is flying a kite 35 feet in the air. The angle of depression from the kite to where Kendra holds the string is 32 degrees. If Kendra holds the string 3 feet off the ground, what is the distance from her hands to the kite? Round your answer to the nearest tenth.

1. 👍 0
2. 👎 0
3. 👁 486
1. Height of the kite from the hand
=35-3 = 32 ft
Distance of the kite from hand
= x feet

using the formula

sin(32) =32/x

x = 32/sin(32) =60.3865572736188208=60.4 .............Ans(c)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Pre-ALgreba

A kite flying in the air has a 12 - ft line attached to it. Its line is pulled taut and casts a 10 - ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.

2. ### Math

A kite flying in the air has an 11-ft line attached to it its line is pulled taut and casts a 9-ft shadow find the height of the kite If neccessary, round your answer to the nearest tenth

3. ### Math

1- A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot. A. 13.4 feet B. 14.6 feet

4. ### Algebra

A kite is tied to the ground. The rays from the sun hit the kite perpendicular to the kite string, casting a shadow of the kite on the ground. The coordinates in the diagram are given in feet. What is the distance from where the

1. ### Maths

Two observers P and Q 15m apart observe a kite in the same vertical plane and from the same side of the kite.The angle of elevation of the kite from P and Q are 35 degree and 45 degree respectively.Find the height of the kite to

2. ### math

John let out 50 foot of kite string when he observes that his kite is directly above a point on the ground 30 feet away from him, how high is the kite ?

3. ### PreCalculus

"A kite is flying 100ft off the ground, and its line is pulled taut. The angle of elevation of the kite is 43 degrees. Find the length of the line."

4. ### Precalculus`!

Ruth is flying a kite. Her hand is 3 feet above ground and is holding the end of a 300 ft. kite string, which makes an angle of 57 degrees with the horizontal. How high is the kite above the ground

1. ### math

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is... A.20.27 B.61 C.77.27

2. ### Pre-Calc

A pilot of an airplane flying at 12,000 feet sights a water tower. The angle of depression to the base of the tower is 25°. What is the length of the line of sight from the plane to the tower?

3. ### algebra2

A kite string is 102 feet long. the angle between the kite string and the ground is 54.9. how high is the kite

4. ### mathematics

a kite with a string 150 feet long makes an angle 45 with the ground, assuming the string is straight ,how high is the kite?