Question

Bella wants to know how tall the oak tree in her back yard is, so she picks

a point that is 75 feet away from the base of the tree. She measures the

angle of elevation to be 40° from this point to the top of the tree. To the

nearest tenth of a foot, how tall is

A-89.4 feet

B-62.9 ft

C-48.2 ft

D-57.5 ft

Answer 1

B = 62.9ft

Explanation:

The distance where she is from the oak tree is 75ft,

The angle of elevation the stone makes with the top of the oak tree is 40°

The height of the tree is x ft

See attached document for better illustration

Using SOHCAHTOA,

Tanθ = opposite/ adjacent

θ = 40°

Opposite = x ft

Adjacent = 75ft

Tan40 = x / 75

X = 75 × tan40

X = 75 × 0.8390

X = 62.92ft

The height of the oak tree is 62.9ft