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A road is inclined at an angle of \(5^{\circ}\). After driving 5000 feet along this road, find the driver's increase in altitude. Round to the nearest foot.

Use the Pythagorean Theorem to solve. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. The base of a 20-foot ladder is 15 feet from the house. How far up the house does the ladder reach?

Use the Pythagorean Theorem to solve. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth. A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole. Find the total number of yards of cable that will be required.

The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is \(23.7^{\circ}\), how far, to the nearest foot, is the ship from the statue's base?

A rectangular kitchen floor measures 12 feet by 15 feet. A stove on the floor has a rectangular base measuring 3 feet by 4 feet, and a refrigerator covers a rectangular area of the floor measuring 4 feet by 5 feet. How many square feet of tile will be needed to cover the kitchen floor not counting the area used by the stove and the refrigerator?

An American football field is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. Find the width and length of the rectangular field.A basketball court is a rectangle with a perimeter of 86 meters. The length is 13 meters more than the width. Find the width and length of the basketball court.

A water reservoir is shaped like a rectangular solid with a base that is 50 yards by 30 yards, and a vertical height of 20 yards. At the start of a three- month period of no rain, the reservoir was completely full. At the end of this period, the height of the water was down to 6 yards. How much water was used in the three-month period?

A rectangular room measures 12 feet by 15 feet. The entire room is to be covered with rectangular tiles that measure 3 inches by 2 inches. If the tiles are sold at ten for \(\$ 1.20\), what will it cost to tile the room?

The Great Pyramid outside Cairo, Egypt, has a square base measuring 756 feet on a side and a height of 480 feet. a. What is the volume of the Great Pyramid, in cubic yards? b. The stones used to build the Great Pyramid were limestone blocks with an average volume of \(1.5\) cubic yards. How many of these blocks were needed to construct the Great Pyramid?

Although the Eiffel Tower in Paris is not a solid pyramid, its shape approximates that of a pyramid with a square base measuring 120 feet on a side and a height of 980 feet. If it were a solid pyramid, what would be the Eiffel Tower's volume, in cubic yards?