Question

A kite is flying 110ft above the ground. The length of the string to the kite is 150ft measured from the ground. Find the angle that the string makes with the ground

Answer 1

Triangle is a right triangle then we can use trigonometric ratios to solve

on this case we can use sine

$\sin (\alpha)=\frac{O}{H}$

where alpha is the reference angle, O the opposite side from the angle and H the hypotenuse of the triangle

then using x like reference angle we can replace

$\sin (x)=\frac{110}{150}$

Then right option is E

to find the value of x we solve for x

$\begin{gathered} x=\sin ^{-1}(\frac{110}{150}) \\ \\ x\approx47.17 \end{gathered}$