Solve for Hypotenuse

Set up the problem.

• sin(47) = x/28

• cos(47) = x/28

• tan(47) = x/28

• cos(47) = 28/x

What is the side across from the right angle called?

• Leg

• Pythagoras

• Hypotenuse

• Altitude

A pole vaulter leans her pole against a wall. When the pole reaches 12 feet up the wall, it is 9 feet from the base of the wall. How long is the pole? Round to the nearest tenth.

• 112.5 ft.

• 15 ft.

• 7.9 ft.

• 3.5 ft.

What is the formula used to solve the value of the hypotenuse?

• a²+b²=c²

• a+b=c

• a²-b²=c²

• c-a=c

Which equation will help you find the missing side?

Solve the value of c. Round to the nearest tenth.

• 7

• 9

• 4

• 13

Calculate the length of the hypotenuse. Round to the nearest tenth.

• 23.1 cm

• 30.4 cm

• 41 cm

• 1681 cm

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally? Round to the nearest tenth.

• 5 m

• 8.7 m

• 43.3 m

• 55.9 m

Daniel is using a ladder to clean the outside of his 2nd floor windows. He needs to reach a window 20 feet above the ground, but doesn't want to damage the garden that is 13 feet from the house. How long a ladder does he need? Round to the nearest tenth.

• 23.9 ft.

• 33 ft.

• 49 ft.

• 284.5 ft.

Solve for x. Round to the nearest tenth.

• 38.9

• 40.2

• 45.6

• 54