P.T. Applications

Find the diagonal of the rectangle. Round to the nearest tenth.

• 38.9

• 40.2

• 45.6

• 54

The diagram below represents the side view of a bike ramp.

Which of the following is closest to the value of x?

• 27 in.

• 32 in.

• 25 in.

• 20 in.

Two joggers run 2.7 miles south and then 6.5 miles east. What is the shortest distance they must travel to return to their starting point?

• 10 miles

• 15 miles

• 7 miles

• 5 miles

The diagram below shows the side view of a ramp used to help load and unload a moving van.

Which measurement is closest to the length of the ramp in feet?

• 8.5 ft

• 10.5 ft

• 9.5 ft

• 13.5 ft

Leland swam from the dock east 26 meters. He turned and swam another 10 meters as shown in the diagram below.

What is the value of x the distance Leland swam to return to the dock?

• 36 m

• 24 m

• 4 m

• 16 m

A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below.

Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9 ft

• 11 ft

• 6 ft

• 14 ft

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

• 105 meters

• 79.4 meters

• 210 meters

• 150 meters

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below.

What is h, the total height in feet of the piece of plywood?

• 26 ft

• 14 ft

• 12 ft

• 32 ft