Question

A TREE CAST A SHADOW 76 FT LONG. THE ANGLE OF ELEVATION OF THE SUN IS 49 DEGREE, FIND THE HEIGHT OF THE TREES.

1.The height of the tree is what side? (opposite, Adjacent,hypotenuse)

2.Which trig identity will you use to find the height of the tree.

3.The heigh of the tree =​

Answer 1

• Opposite
• Tangent
• 87.4 ft

Explanation:

Let the height be x

1. It is the opposite side

2. The ratio of the opposite side to the adjacent side is called the tangent

3. As per definition of the tangent we got:

• x/76 = tan 49
• x = 76*tan 49
• x = 76*1.15
• x = 87.4 ft