Question

you are hiking along a river and see a tall tree on thhe opposite bank. You measure the angle of elevation of the top of the tree and find it to be 61 degree. You then walk 50 feet directly away from the tree and measure the angle of elevation. If the second measurement is 49.5 degree, how tall is the tree?

Answer 1

The height of the tree is approximately 104.81 feet.

Step-by-step explanation:

To find the height of the tree, we can use trigonometry and the concept of similar triangles. Let's call the height of the tree h and the distance you walked away from the tree x. We can set up the following proportion:

h / x = tan(angle of elevation)

Using the first measurement of 61 degrees, we can write:

h / 50 = tan(61)

Solving for h, we get h = 50 * tan(61). The second measurement of 49.5 degrees is not needed to calculate the height of the tree.

Using a calculator, we find that h ≈ 104.81 feet.