23.9k views
1 vote
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.

User Anh Nguyen
by
9.5k points

2 Answers

1 vote
I think it might be 3.63.
User Alcalde
by
8.2k points
3 votes

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

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=(Perpendicular)/(Base)\\\\0.7=(P)/(11)\\\\0.7* 11=P\\\\7.7\ feet=P

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

User Jenzz
by
7.2k points