Question

2. At 32 meters from the foot of a tree,the angle of elevation to the top of the tree is 57°.What is the height of the tree?

Answer 1

Let's draw a diagram to visualize the problem.

Where y is the height of the tree.

To find the height, we can use the tangent trigonometric reason which is the ratio between the opposite leg and the adjacent.

`\tan (57)=(y)/(32)`

Solving for y, we have.

`y=32\cdot\tan (57)\approx49.28`

Therefore, the height of the tree is 49.28 meters, approximately.