Question

Juan is flying his kite on the football field. There is 70 meters of string between Juan and his kite. The string makes an angle of 38° with the ground. Find to the nearest meter how far above the ground the kite is flying.

A) 43 meters

B) 55 meters

C) 89 meters

D) 114 meters

Answer 1

Let y be the how far above the ground the sky is flying...
we know that
\[\sin \theta= opposite side/hypothenuse\]
in this case the opposite side is y and the hypothenuse is the string between Juan and his Kite
\[\sin \theta=y/70 m\]
\[70 m \times \sin 38=y\]
\[43.096303272m=y\]
Rounding off to the nearest meter we'll arrive at the answer
y= 43 meters or simply letter A

Answer 2

thank you !