Pythagorean Theorem and its Converse

1. A 15 meter telephone pole is attached 8 meters away to the level ground by a 17 meter guy wire. Is the telephone pole perpendicular to the ground?

• Yes, it is perpendicular because there is a 90° angle

• No, it is not perpendicular because there is not a 90° angle

Tags

CCSS.8.G.B.8

A 75 foot wire is needed to connect the top of the antenna to the hook 15 ft from the base of the antenna. To the nearest tenth, how tall is the antenna?

Tags

CCSS.8.G.B.8

The distance between consecutive bases in major league baseball is 90ft. Find the distance from home plate to second base. Round to the nearest whole number.

Tags

CCSS.8.G.B.8

A frame measures 60 cm in length and 11 cm in width. If the diagonal measures 61 cm, do the corners of the frame meet at 90° angles?

• Yes, the corners meet at 90° angles

• No, the corners do not meet at 90° angles

Tags

CCSS.8.G.B.8

A surveyor had poles marked at points A, B, and C. The distances are shown. What is the approximate distance from A to C? Round to the nearest whole number.

Tags

CCSS.8.G.B.8

Carla lives 20 miles due north of her favorite radio station. While driving due east from her house, she was able to keep the radio signal for about 75 miles. What is the broadcasting range of her favorite radio station? Round to the nearest tenth.

Tags

CCSS.8.G.B.8

Lisa lives 28 miles due south of the city. Lisa also lives 45 miles due east of her friend Stacey. How far does Stacey live from the city?

Tags

CCSS.8.G.B.8

An airplane is flying at an altitude of 4.1km. The plane’s slant distance from the runway is 15.1km. How far must the plane travel to be directly above the runway? Round to the nearest tenth.

Tags

CCSS.8.G.B.8

An A-frame tent is in the shape of an isosceles triangle. The base of the triangle is 10 feet and the two congruent sides are 8 feet each. What is the height of the tent? Round to the nearest tenth.

Tags

CCSS.HSG.CO.C.9

A 10 foot ladder is leaning against a building. The bottom of the ladder is 5 feet from the building. How high is the top of the ladder? Round to the nearest tenth.

Tags

CCSS.8.G.B.8