You are fertilizing a triangular garden. One side of the garden is 62 feet long and another side is 54 feet long. The angle opposite the 62 foot side is 58°. One bag of fertilizer covers an area of 200 square feet. How many bags of fertilizer will you need to cover the entire garden?

You are on the observation deck of the Empire State Building looking at the Chrysler Building. When you turn 145° clockwise, you see the State of Liberty. You know that the Chrysler Building and the Empire State Building are about 0.6 mile apart and that the Chrysler Building and the statue of Liberty are about 5.7 miles apart. Estimate the distance between the Empire State Building and the Statue of Liberty.

An airplane flies 55° east of north from city A to city B, a distance of 470 miles. Another airplane flies 7° north of east from city A to city C, a distance of 890 miles. What is the distance between cities B and C?

You are on the observation deck of the Empire State Building looking at the Chrysler Building. When you turn 145° clockwise, you see the Statue of Liberty. You know that the Chrysler Building and the Empire State Building are about 0.6 mile apart and that the Chrysler Building and the Statue of Liberty are about 5.6 miles apart. Estimate the distance between the Empire State Building and the Statue of Liberty.

Let ∠D be and acute angle. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree. sin D = 0.75

An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of 0.5 m/s relative to the water. He reaches the opposite side at a distance 40 m downstream from his starting point. How fast is the water in the river flowing with respect to the ground? What is the speed of the swimmer with respect to a friend at rest on the ground?

Use a calculator to find the trigonometric ratio. Round your answer to four decimal places. cos 108°

A golfer hits a drive 260 yards on a hole that is 400 yards long. The shot is 15° off target. What is the distance x from the golfer's ball to the hole?

A group of hikers is lost in a national park. Two ranger stations have received an emergency SOS signal from the hikers. Station B is 75 miles due east of station A. The bearing from station A to the signal is S 60° E and the bearing from station B to the signal is S 75° W. Find the distance from each station to the SOS signal.

In order to unload clay easily, the body of a dump truck must be elevated to at least 45°. The body of a dump truck that is 14 ft. long has been raised 8 ft. Will the clay pour out easily? Explain your reasoning.

A hiking party is lost in a national park. Two rangeri stations have received an emergency SOS signal from the party. Station B is $75$ miles due east of Station A. The bearing from Station A to the signal is $S 60^\circ E$ and the bearing from Station B to the signal is $S 75^\circ W$.

Find the distance from each station to the SOS signal.

Use a calculator to find the trigonometric ratio. Round your answer to four decimal places. sin 127°.

A theater has n rows of seats, and each row has d more seats than the row in front of it. There are x seats in the last (nth) row and a total of y seats in the entire theater. How many seats are in the front row of the theater? Write your answer in terms of n, x, and y.

In a volleyball game, a player on one team spikes the ball over the net when the ball is 10 feet above the court. The spike drives the ball downward with an initial vertical velocity of 55 feet per second. How much time does the opposing team have to return the ball before it touches the court?