# Trigonometry: Right Triangle Challenge Game

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## Use your knowledge of pythagorean theorem, special right triangles, and trigonometry to solve for missing parts of a right triangle.

Created Date 04.30.20
Last Updated 05.01.20
Viewed 331 Times
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Topics of this game:
• Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. a= 6ft and c= 10ft.
• Find the missing side of each right triangle. Side [c] is the hypotenuse. Sides [a] and [b] are the legs. Round your answers to the nearest tenth if necessary. a= 9yd and b= 12yd.
• Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°. Round to the nearest tenth if needed.
• Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 8 inches and one of the angles is 30°. Round to the nearest tenth if needed.
• A 14-ft-long ramp rises at an angle of 22.28. How long is the base of the ramp to the nearest foot?
• A right triangle has an angle that measures 34 degrees and the opposite side measures 17. What is the length of the hypotenuse to the nearest tenth?
• An airplane is flying at an altitude of 2 mi. The airport at which it is scheduled to land is 50 mi away. Find the average angle at which the airplane must descend for landing. Round your answer to the nearest degree.
• A fire ranger on a 150-ft-tall tower spots a fire at a 30 degree angle of depression. How many feet away from the tower is the fire to the nearest tenth?
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