A kite is flying at a height of 75 m. If the string makes on angle with the horizontal plane such that $\tan θ = \frac{15}{8}$, then find the length of the string.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 85 m
Height at which kite is flying, H = 75m
$\tan θ = \frac{15}{8}$ = \(\frac{H}{Base}\)
Base Distance between flyer and the kite, B = \(\frac{75×8}{15}\) = 40
Thus, Length of string, L = sqrt(\( {40}^{2} \) + \( {75}^{2} \)) = 85 m