Question

a 10 ft slide makes a 30° angle with the ground. Exactly how far above the ground is the top of the slide?

Answer 1

Let us start with illustrating the information with an image

Using Sine of angles to solve for h

Therefore,

$sin\theta=\frac{Opposite}{Hypotenuse}$

Given:

$\begin{gathered} \theta=30^0 \\ Opposite=h \\ Hypotenuse=10ft \end{gathered}$

Thus,

$sin30^0=\frac{h}{10}$

Evaluate for h

$\begin{gathered} Cross-multiply \\ h=10\times sin30^0=10\times0.5=5 \\ \therefore h=5ft \end{gathered}$

Hence, the answer is 5feet.