Question

18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.

Round to the tenths place.

Answer 1

87.36 ft.

Explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer 2

the height of the tree = 87.4 ft (Rounded to the tenths place)

Explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

`\tan 41=(76)/(H)`

`\Longrightarrow H = (76)/(\tan(41)) = 87.427998948797`