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

Question

3 years ago

12

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.

Mathematics

2 answers:

aksik [14] · Answer 1 · 2022-08-24T23:34:52+03:00

aksik [14]3 years ago

5 0

I think it might be 3.63.

Leona [35] · Answer 2 · 2022-08-25T01:28:12+03:00

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.