A nursery plants a new tree and attaches a guy wire to help support the tree while its roots
take hold. An eight-foot wire is attached to the tree and to a stake in the ground. From the
stake in the ground the angle of elevation of the connection with the tree is 42º. Find to
the nearest tenth of a foot, the height of the connection point on the tree.
Answers
Answered by
16
Step-by-step explanation:
Given A nursery plants a new tree and attaches a guy wire to help support the tree while its root stake hold. An eight-foot wire is attached to the tree and to a stake in the ground. From the stake in the ground the angle of elevation of the connection with the tree is 42º. Find to the nearest tenth of a foot, the height of the connection point on the tree.
- Now there is a guy wire support wire which is used to hold a new tree to prevent this from bending. Th tree is perpendicular with the ground. So we need to use the trigonometry since we have a right angle triangle with opposite side and a hypotenuse.
- Let the opposite side be t
- So we have sin theta = opposite side / hypotenuse.
- sin 42 = t / 8
- 0.6691 = t / 8
- Or t = 0.6691 x 8
- Or t = 5.353
- = 5.4 ft
Reference link will be
https://brainly.ph/question/8327868
Answered by
3
Answer:
So we have sin theta = opposite side / hypotenuse.
sin 42 = t / 8
0.6691 = t / 8
Or t = 0.6691 x 8
Or t = 5.353
= 5.4 ft
Similar questions