Question

MODELING WITH MATHEMATICS The top of the slide is 12 feet from the ground and has an angle of depression of 53°.What is the length of the slide? Round your answer to the nearest whole number.12 ft53AThe slide is aboutfeet long.

Answer 1

From the given figure;

`\begin{gathered} Opposite=12\text{ feet} \\ Hypotenuse=length\text{ of slide} \\ \theta=53\degree \end{gathered}`

Applying SOHCAHTOA

`\begin{gathered} \sin\theta=(Opposite)/(Hypotenuse) \\ \sin53\degree=(12)/(Hypotenuse) \\ Hypotenuse=(12)/(\sin53\degree) \\ Hypotenuse=15.02562=15\text{ feet \lparen nearest whole number\rparen} \end{gathered}`

Hence, the slide is about 15 feet long