Apply the Pythagorean Theorem to Find the Distance

Which is the length of the hypotenuse?

• 13 ft.

• 84 ft.

• 85 ft.

• 182 ft.

Which equation will help you find the missing side?

Calculate the length of the hypotenuse.

• 23.1 cm

• 30.4 cm

• 41 cm

• 1681 cm

Find the missing side.

• 9

• 41

• 6.4

• 6.2

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Mathematical Equivalence

ON

Tags

8.7.C

Which measurement is closest to the value of d in inches?​ (a)  

• 14.3 in.

• 6.3 in.

• 4.0 in.

• 19.8 in.

The distance from Megan to the point on the ground directly below the kite is ​ ​ (a)   ​ ​ ​​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

• 80 yd

• 60 yds

• 240 yd

• 120 yd

Snowcat Ridge Alpine Snow Park, the fi rst outdoor snow park in Florida, opened in Dade City in 2020. The park features a snow tubing hill shown below. Find the distance x from the top of the hill to the bottom.

Round to the nearest hundredths place.

Mathematical Equivalence

ON

How far above the ground doe the ladder touch the building?

Mathematical Equivalence

ON

The value of d is ​ (a)   .

• 218 inches