Pythagorean Theorem Application Problems

Unit 5 Test #4 - 47% Correct

The mass of a textbook is approximately 0.00165 metric ton. How is this number written in scientific notation?

PARTNER PRACTICE

1. Mitch needs to wash the windows on the second floor of a building. He knows the windows are 12 feet above the ground. Because of dense shrubbery, he has to put the base of the ladder 5 feet from the building. What ladder length does he need?

PARTNER PRACTICE

2. On a baseball field, the first baseman caught a line drive right on the base. He touched first base for one out and quickly threw the ball to third base to get another out. How far did he throw the ball? Round to the nearest tenths place.

PARTNER PRACTICE

3. The school’s new industrial-size refrigerator is 7 feet tall and 5 feet wide. The refrigerator is lying on its side. Mitch and Michel want to tilt the refrigerator upright, but they are worried that the refrigerator might hit the ceiling. Approximately how tall must the ceiling be so that the refrigerator doesn't hit? Round answer to the nearest hundredths place.

PARTNER PRACTICE

4. A carpenter attaches a brace to a rectangular picture frame. If the dimensions of the picture frame are 30 inches by
40 inches, what is the length of the brace?

PARTNER PRACTICE

5. A television is identified by the diagonal measurement of the screen. A television has a 36-inch screen, whose height is 22 inches. What is the width of the television screen? Round your answer to the nearest whole inch.

PARTNER PRACTICE

6. Chris has a tent that is 64 inches wide with a slant height of 68 inches on each side. What is the height of the center pole needed to prop up the tent?

PARTNER PRACTICE

7. A ship left shore and sailed 240 kilometers east, turned due north, and then sailed another 70 kilometers. How many kilometers is the ship from shore by the most direct path?

PARTNER PRACTICE

8. A boat drops an anchor at the deepest point of the lake and spends the day drifting along the lake. If the lake is 75 feet deep and the chain on the anchor is 200 feet, determine the greatest distance the boat can drift from where it dropped anchor. Round to the nearest thousandths place.

PARTNER PRACTICE

9. A plane is 8 miles directly above a house and 52 miles from the runway of the airport diagonally. How far is the house from the airport? Round to the nearest tenths place.

Exit Ticket 02/27 - TEK 8.7C

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?