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

User Xanido
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1 Answer

2 votes

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.

a 10 ft slide makes a 30° angle with the ground. Exactly how far above the ground-example-1
User JCricket
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