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#### xyz_1965

##### Member

- Jul 26, 2020

- 81

(A) Find the height of the tree.

(B) Find the length of the shadow when the angle of elevation of the sun is 38 degrees.

Part (A)

Let h = height of tree

tan(52°) = h/52

tan(52°)(23) = h

29.4386575404 = h

Rounding off to the nearest ones place, I get 29 feet.

The tree is 29 feet.

Part (B)

Let s = length of shadow

tan(38°) = 29/s

s = 29/tan(38°)

s = 37.1183073336

After rounding to the nearest unit, I get 37 feet.

The shadow is 37 feet.

Is this right?