Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
What is 9.439
100
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
What is 4
100
Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If the diagonal of the table measures 43", is the table square? A table which is "square" has right angles at the corners.
What is No
100
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram.What is the length of the diagonal, in yards, that Tanya runs?
What is 50
100
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?
What is 10 blocks
200
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
What is 127.3
200
A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?
What is 2.5 ft
200
In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
What is 16.2
200
The older floppy diskettes measured 5 and 1/4 inches on each side. What was the diagonal length of the diskette to the nearest tenth of an inch?
What is 7.4
200
Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle without using paper and pencil. What is your answer?
What is 12
300
Find each angle measure to the nearest degree. cos Y = 0.5736
What is 32 degrees
300
Find each angle measure to the nearest degree. tan B = 0.6249
What is 32 degrees
300
Find each angle measure to the nearest degree. sin A = 0.4540
What is 27 degrees
300
Find each angle measure to the nearest degree.cos B = 0.5000
What is 60 degrees
300
Find each angle measure to the nearest degree. tan C = 0.1405
What is 8 degrees
400
A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the
wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
What is 80 degrees
400
The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree,
to the nearest tenth of a metre?
What is 35.4m
400
A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?
What is 10 degrees
400
A person flying a kite has released 176 m of string. The string makes an angle of 27° with the
ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest metre.
What is 80 m high, 157 m away
400
Find each angle measure to the nearest degree. sin X = 0.7547
What is 49 degrees
500
A television antenna casts a shadow that is 75.0 m long. If the angle of elevation of the sun is 39 degrees, calculate how high above the ground a bird perched on the top of the antenna is
What is 60.7m
500
A ladder is in an unsafe position if it makes an angle of less than 15 degrees with a wall. A 10.0 m ladder is placed so that its foot is 3.0 m from the wall. Is the ladder standing safely?
What is Yes.
500
An underground parking lot is being constructed 8.00 m below ground level. If the exit ramp is to rise at a 15 degree angle, how long will the ramp be?
What is 30.9
500
An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain
time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the
nearest kilometer) does the airplane have to fly before it is directly above the coastline?
What is 24km
500
From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate
the height of the flagpole to the nearest tenth of a metre.