(a) Write an equation that you can use to find the height h of the tree. (b) Find the height h of the tree. (Round your answer to one decimal place.)

Question

A tree grows at an angle of 2° from the vertical due to prevailing winds. At a point d = 45 meters from the base of the tree, the angle of elevation to the top of the tree is a = 28°

(a) Write an equation that you can use to find the height h of the tree.

(b) Find the height h of the tree. (Round your answer to one decimal place.)

Answer 1

Angle of elevation; I guess is from the ground to the top of the tree.

To make it easier: a/sinα=b/sinβ=c/sinγ.

Need another length.

45/sin28=c/sin88

95.85=c/1; c=95.85

c^2-a^2=b^2

9187.7-2025=7162^.5=84.62=b

or: 9.87.7-7162=2025^.5=45=a