Right Triangle Trig Word Problems

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.C.8

Joe uses a 15-foot ladder to get into his second story bedroom through a window that is 13 feet above the ground. What is the measure of the angle that the ladder makes with the house? Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.C.8

Matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42˚. How far is the boat from Matt? Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.C.8

Guadalupe is standing 75 feet from a tree. The angle of elevation from her eyes to the top of the tree is 28 degrees. If her eyes are 5 feet above the ground, how tall is the tree? Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.C.8

A ladder that is 20 ft. long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75 degrees, how far is the bottom of the ladder from the base of the building?   Round to the nearest tenth.  No need to include units.

Tags

CCSS.HSG.SRT.C.8

A 6-foot-long surfboard has been propped up against a fence. If it touches the top of the 4.5 foot fence, find the measure of the angle that the surfboard forms with the ground. Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.C.8

You are a block away from a skyscraper that is 780 feet tall. Your friend is between the skyscraper and yourself. The angle of depression from the top of the skyscraper to you is 42° and the angle of depression to your friend’s position is 71°. How far are you from your friend? Round to the nearest tenth. No need to include units.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11