- Demonstrate the ability to solve right triangles given an angle and a side
- Demonstrate the ability to solve right triangles given two sides
- Demonstrate the ability to solve word problems that involve angles of elevation
- Demonstrate the ability to solve word problems that involve angles of depression

#1:

Instructions: Solve each triangle. Round to the nearest tenth.

a)

b)

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#2:

Instructions: Solve each triangle. Round to the nearest tenth.

a)

b)

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#3:

Instructions: Solve each triangle. Round to the nearest tenth.

a)

b)

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#4:

Instructions: Solve each triangle. Round to the nearest tenth.

a)

b)

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#5:

Instructions: Solve each word problem.

a) A window is 30.0 feet above the street, the angle of elevation to the top of the building across the street is 50.0° and the angle of depression to the base of this building is 20.0°. Find the height of the building across the street.

b) Standing at the top of a radar tower which is 200 feet high, the air traffic controller spotted a Navy fighter jet and a tug boat directly below the jet. The angle of elevation of the jet was exactly 25°, while the angle of depression for the tug boat was exactly 32°. What is the distance of the tug boat to the foot of the radar tower? What is the distance from the water to the jet? Round both answers to the nearest 10 feet.

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Written Solutions:

#1:

Solutions:

a) m∠A = 28°, a = 4.3, c = 9.1

b) m∠A = 31.6°, b = 13.6, a = 8.4

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#2:

Solutions:

a) m∠B = 66°, b = 6.4, a = 2.8

b) m∠A = 44.4°, m∠B = 45.6°, a = 9.8

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#3:

Solutions:

a) m∠B = 19°, m∠A = 71°, a = 8.7

b) m∠B = 38.1°, m∠A = 51.9°, b = 5.5

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#4:

Solutions:

a) m∠A = 40°, a = 4.2, c = 6.5

b) m∠B = 19°, a = 26.1, c = 27.6

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#5:

Solutions:

a) 128 feet

b) The tug boat is 320 feet from the foot of the radar tower. The jet is 350 feet above the water.