Unknown Leg Lengths in Right Triangles Answers

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale]What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.

Which triangle’s unknown side length measures 7 units?

What is the length of the missing leg in this right triangle?

What is the length of the unknown leg in the right triangle?

Which triangle’s unknown side length measures units?

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line. How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?

What is the length of the unknown leg in the right triangle?

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.

What is the length of the unknown leg in the right triangle?

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building. In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.