Question

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.

a.
37.7 feet
b.
41.3 feet
c.
60.4 feet
d.
66.0 feet

Answer 1

It's C, 60.4 feet

Explanation:

Answer 2

Answer: option c. 60.4 feet.

Make a right triangle where,

Hypotenuse = distance from her hands to the kite

Opposed leg = Height of the kite - holding height = 35 feet - 3 feet = 32 feet

Adjacent leg = horizontal distance from the point directly below the kite to Kendra's hand.

Angles: elevation angle from her hands = depression angle from the kite = 32°.

Relations: sin (32°) = opposed leg / hypotenuse =>

hypotenuse = opposed leg / sin (32) = 32 feet / sin(32) = 60.4 feet