Question

The length of the shadow of a building is 150 meters, as shown below: The shadow of a building is 150 meters long. The acute angle that the shadow makes with the line joining the top of the building to the end of the shadow measures 45 degrees. What is the height of the building?

Answer 1

in a triangle with 2 45 degree angles and a 90 degree angle, the opposite and the adjacent sides are always equal, making the answer 150m

Answer 2

So first you want to draw out you triangle and label everything so side a would be x, side b would be 15 and c would be x
next the angles need to be label 
and finally the anwser is 150m