A ladder is placed so that it is 15 feet away from the bottom of the building. if it makes a 76 degree angle with the ground, how high does the ladder reach

degree-angle

#1

a ladder is placed so that it is 15 feet away from the bottom of the building. if it makes a 76 degree angle with the ground, how high does the ladder reach.

Answer:

I recommend drawing a picture for this problem. From the question, we know the distance the ladder is from the building which is 15 feet. The ladder makes a 76 degree angle with the ground. We are now able to solve the problem. Using SOHCAHTOA, we get tan76= x/15. Multiply 15 on both sides to get, 15(tan76)=x. The height of the ladder is approximately 10.30 feet.