183k views
2 votes
A tree is 100 feet tall casts a shadow that is 150 feet long . Determine the angle at which the rays of of tge sun hit the ground , to tye nearest degree

User Luksan
by
8.3k points

1 Answer

2 votes
To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The tree is 100 feet tall.
- The tree casts a shadow that is 150 feet long.

2. Therefore, you have:

Tan^-1(α)=opposite/adjacent

Where:
- α is the angle.
- opposite=100 feet.
-adjacent=150 feet.

2. When you substitute these values, you obtain:

Tan^-1(α)=100/150
α=34º

The answer is: 34º

User Tholle
by
7.6k points