If a kite is flying 95 ft. off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Then the length of the string will be 110.8 ft.
Given information constitutes the following,
The distance of the flying kite from the ground, length AB (refer the figure) = 95 ft.
The angle of elevation of the kite, ∠ACB = 59°
We have to find the length of the string, that is the length AC. For that, we can apply Trigonometry as shown in the next steps of the solution.
In ΔABC, as shown in the attached figure,
sin (∠ACB ) = AB / AC
⇒ sin (59°) = 95 / AC
0.8572 = 95 / AC
AC = 95 / 0.8572
AC = 110.814
AC ≈ 110.8 ft. [After rounding off to the nearest tenth]
Hence, the length of the string comes out to be 110.8 ft.
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