A walkway forms the diagonal of a square playground. The walkway is 24 m long. To the nearest tenth of a meter, how long is a side of the playground?

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a $30^{\circ}$ angle. To the nearest foot, how far does a person travel from the bottom to the top of lite escalator?

A walkway 3.0 m wide is constructed along the outside edge of a square courtyard. If the perimeter of the courtyard is 320 m, (a) what is the perimeter of the square formed by the outer edge of the walkway? (b) What is the area of the walkway?

A walkway forms one diagonal of a square playground. The walkway is 24 m long. To the nearest meter, how long is a side of the playground?

A function f is symmetric with respect to the origin. Is f' necessarily symmetric with respect to the origin? Explain.

Describe how a specific abiotic factor and a specific biotic factor could affect the life of a deer.

According to the Handbook for Public Playground Safety, the ratio of the vertical distance to the horizontal distance covered by a slide should not be more than about 4 to 7. If the horizontal distance allotted in a slide design is 14 feet, approximately how long should the slide be?

For the pair of numbers, find a third whole number such that the three numbers form a Pythagorean triple. 13, 84

For each pair of numbers, find a third whole number such that the three numbers form a Pythagorean triple. 14, 48

The shadow of a vertical tower is 40.6 m long when the angle of elevation of the sun is $34.6^{\circ}$. Find the height of the tower.

A painter leans a 15-ft ladder against a house. The base of the ladder is 5 ft from the house. To the nearest tenth of a foot, how high on the house does the ladder reach?

The screen aspect ratio, or the ratio of the width to the length, of a high-definition television is 16:9. The size of a television is given by the diagonal distance across the screen. If an HDTV is 41 inches wide, what is its screen size?

Wilfred, age $75$ , has been suffering from cancer for $10$ years. The pain associated with the cancer is severe and has become worse over time. Wilfred's doctors say there is no treatment to either slow down the cancer's growth or substantially reduce the pain. Wilfred asks Martha, his wife of $50$ years, to relieve him of the terrible pain. He asks her to bring him a bottle of pills that will help him end his own life. Martha cannot stand watching Wilfred suffer anymore and gives him the pills. He swallows them all, slowly fades off to sleep, and dies.

If the bottle of pills had been given to Wilfred by a physician instead of by his wife, would your answers have been different? Give your reasons.

A blimp provides aerial television views of a football game. The television camera sights the stadium at a $7^{\circ}$ angle of depression. The altitude of the blimp is 400 m. What is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest hundred meters.