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Engineering Math I Worksheet - Applying Right Triangle Trigonometry

This worksheet is designed to assess your understanding of right triangle trigonometry as applied to everyday situations.

AB
A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5˚. How tall is the tree????
A person is standing 200 yards from a river. Rather than walking directly to the river, the person walks 400 yards along a diagonal straight path to the river's edge. Find the angle between the path and the river's edge.???
A 20-foot ladder leaning against the side of a house makes a 75˚ angle with the ground. How far up the side of the house does the ladder reach????
A person standing on top of a 25-m tall building observes a car below. If the angle of depression is 48˚, how far from the base of the building is the car????
A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the ground????
A treasure chest is buried 150 feet under a building. If you start digging 850 feet from the building, at what angle must you dig????
From the top of a cliff at the edge of a lake, the angle of depression to a buoy on the lake is 33˚. If the buoy is 80 meters from the base of the cliff, how high is the cliff????
An airplane pilot finds the measure of the angle of depression of the edge of the runway to be 47˚. If the altitude of the plane is 550 feet, what is the distance from a point on the ground directly below the plane to the edge of the runway????


Algebra I and Geometry Teacher
Patrick Henry High School
Ashland, VA

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