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Integrated Algebra
Right Triangle Trigonometry – Applications Homework
Name: ________________________________________ Date:___________________ Period:______
1) The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site.
If the ramp forms an angle of 32o with the ground, how high above the ground, to the nearest tenth, is
the top of the ramp?
2) Ron and Frank are building a ramp for performing skateboard stunts, as shown in the accompanying
diagram. The ramp is 7 feet long and 3 feet high. What is the measure of the angle, x, that the ramp
makes with the ground, to the nearest tenth of a degree?
3) As shown in the accompanying diagram, a ladder is learning against a vertical wall, making an
angle of 70o with the ground and reaching a height of 10.39 feet on the wall. Find, to the nearest foot,
the length of the ladder. Find, to the nearest foot, the distance from the base of the ladder to the
wall.
4) A person measures the angle of depression from the top of the wall to a point on the ground. The
point is located on level ground 62 feet from the base of the wall and the angle of depression is 52o.
How high is the wall, to the nearest tenth of a foot?
5) A lighthouse is built on the edge of a cliff near the ocean, as shown in the accompanying diagram.
From a boat located 200 feet from the base of the cliff, the angle of elevation to the top of the cliff is
18o and the angle of elevation to the top of the light house is 28o. What is the height of the lighthouse,
x, to the nearest tenth of a foot?
6) A 20 foot ladder that is leaning against a wall reaches a point that is 18 feet above the ground. Find
to the nearest degree, the angle that the ladder makes with the ground.
7) A ski slope is 300 yards long with a vertical drop of 27.6 yards. Find the angle of depression, to the
nearest degree, of the ski slope.
8) A ski run has an angle of elevation of 24.4o and a vertical drop of 1100 feet. To the nearest foot,
how long is the ski run?