Luis walks 5 km due east and 8 km due north. How far is he from the starting point?

Find the length of an edge of a cube given its surface area of 72 m².

A taut rope starting from the top of a flagpole and tied to the ground is 15 m long. If the pole is 7 m high, how far is the rope from the base of the flagpole?

Five times the square root of 1 less than a number is equal to 3 more than the same number. Find the numbers.

The square root of the sum of two consecutive odd integers is equal to 6. Find the larger integer.

For an airplane flying above the earth, the approximate distance d (in miles) to the horizon is given by the equation d =√8000𝑎, where a is the altitude of the plane in miles. Determine the altitude of the plane if its distance to the horizon is 150 miles.

The formula t = 1.11√𝐿 , gives the time t (in seconds) required for a pendulum of length L feet to swing through one back- and- forth- cycle. A grandfather’s pendulum completes one cycle in 1.28 seconds. To the nearest hundredths in feet, how long is the pendulum?

Find the length of the side of a square if its diagonal is √2 cm.

A man walks 4 meters to the east going to school and then walks 10 meters northward going to the church. How far is he from the starting point?

If each side of a square garden is increased by 4 m, its area becomes 144 m². What is the length of the side of the original square garden?

A 26-foot ladder rests against a building and reaches a windowsill 24 feet above the ground. How far from the wall is the base of the ladder?

Find the number such that twice its square root is 14.

The square root of the sum of two consecutive odd integers is 6√2. Find the larger integer.

The side of a square is 8√7 cm. Find its diagonal.