Kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65º. Find the length o

Question

Debora [2.8K]

3 years ago

9

Kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65º. Find the length o

f the string. Round your answer to
the nearest tenth.

Mathematics

1 answer:

Rom4ik [11] · Answer 1 · 2022-02-18T17:25:35+03:00

hope it helps!

Answer:

107.9 ft

Step-by-step explanation:

Imagine Kite is a point A. The person ,who keeps the string is point B.

The height of flying is AC=85 ft. So we have right triangle ABC :angle C=90 degrees, angle B is 52 degrees. Length of AB (triangle ABC hypotenuse) is the length of the string.

AB=AC/sinB=85/sin52=107.8665...=approx 107.9 ft