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Kyle is pulled back on a swing so that the rope forms an angle of 35° with the vertical. The distance from the top of the swing set directly to the ground is 11 feet. Find Kyle’s height off the ground, 2004-04-02-02-00_files/i0270000.jpg, when he is in the pulled-back position. Round the answer to the nearest hundredth.


Verified Answer :

lukusten

I think it might be 3.63.

Answer:  Kyle's height off the ground would be 7.7 feet.

Step-by-step explanation:

Since we have given that

Angle of elevation = 35°

Distance from the top of the swing set directly to the ground = 11 feet

We need to find the Kyle's height off the ground.

We will use "Tangent of triangle":

\(\tan 35^\circ=\dfrac{Perpendicular}{Base}\\\\0.7=\dfrac{P}{11}\\\\0.7\times 11=P\\\\7.7\ feet=P\)

Hence, Kyle's height off the ground would be 7.7 feet.

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