Question

A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the diagram approximate the height of the tree.

5.128 feet

26.005 feet

12.14 feet

23.590 feet

Answer 1

approximate 23.590 feet

Explanation:

tan 65° = x / 11 = 2.145

x = 11 x 2.145 = 23.595

Answer 2

Answer: 23. 590

Explanation:

Fromthe diagram attached here

hypotenuse = 11

adjacent = height of tree =x

θ = 65

Tan θ = Opposite / adjacent

tan65 = x / 11

cross multiply

x = 11 × tan65

x = 11 × 2. 1445

x = 23. 589

x = 23. 590 approximately

Therefore the height of the tree is 23. 590