What is the height of a flag pole that casts a shadow of 100 feet when the angle of elevation of the sun is 62º? (to the nearest tenth)

x=53.2

Step-by-step explanation:

SOH CAH TOA

It would be TOA because we have opposite and we are looking for adjacent.

1. Tan62 = 100/x (It would be opposite/adjacent)

2. x * Tan62 = 100/x * x (multiply x by both sides to take it out of the denominator)

3. x * Tan62 = 100 (x cancels out)

4. x * Tan62/Tan62 = 100/Tan62 (remember were trying to get x alone so we divide both sides by Tan62

5. x = 100/Tan62 (Tan62 cancels out on the left side, leaving x alone)

6. In your calculator you do 100 divided by Tan62 to give you 53.17094317

7. You simplify to the nearest tenth to end up with

x = 53.2