Unknown Leg Lengths in Right Triangles Answers

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?

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

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?

Which triangle’s unknown side length measures 7 units?

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.What is the approximate distance across the lake, to the nearest tenth of a kilometer?

A moving van ramp is 72 inches in length. The top of the ramp can be adjusted to any height up to 20 inches. The ramp is set so that the distance across the ground from the bottom of the ramp to the ground underneath the top of the ramp is 70 inches. What is the height of the ramp above the ground? Round the answer to the nearest tenth of an inch.

Arnob may want to borrow his cousin’s tent, which is shown below.He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. What is the center height of this tent, to the nearest tenth of a foot?

Which triangle’s unknown side length measures units?

Which equation can be used to find the unknown length, a, in this triangle?