MATH SOLVE

4 months ago

Q:
# Consider the diagram shown where the sun is 20° above the horizon. How long is the shadow cast by a building 150 ft tall? (to the nearest ft)

Accepted Solution

A:

First draw a right triangle

The building is the vertical leg and the shadow is the horizontal leg

the hypotenuse makes a 20 degree angle with the top of the building

call the shadow "x"

tan=opposite/ adjacent

tan(20Âş)=150/x

x=150/tan(20Âş)

x=150/0.36397

x=412.121

Therefore the answer is 412 Feet

The building is the vertical leg and the shadow is the horizontal leg

the hypotenuse makes a 20 degree angle with the top of the building

call the shadow "x"

tan=opposite/ adjacent

tan(20Âş)=150/x

x=150/tan(20Âş)

x=150/0.36397

x=412.121

Therefore the answer is 412 Feet