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=(Opposite)/(Hypotenuse)`

Given:

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

Thus,

`sin30^0=(h)/(10)`

Evaluate for h

`\begin{gathered} Cross-multiply \\ h=10* sin30^0=10*0.5=5 \\ \therefore h=5ft \end{gathered}`

Hence, the answer is 5feet.