Trigonometry RACE!
22.7
A ladder leaning against the wall makes an angle of 74° with the ground. If the base of the ladder is 6.5 feet from the wall, how high (in feet) on the wall is the ladder?
68.7
A ladder leans against a building. The top of the ladder reaches a point on the building which is 18 feet above the ground. The base of the ladder is 7 feet from the building. Find the measure of the angle (in degrees) which the ladder makes with the ground.
71.5
A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the angle of elevation from the stake to the top of the pole is 39°, find the length of the wire.
519.8
A straight road to the top of a hill is 2500 feet long and makes an angle of 12° with the horizontal. Find the height (in feet) of the hill.
9.2
A wheelchair ramp is 5 meters long and rises 0.8 meters. What is the angle of elevation to the nearest tenth of a degree?
37.7
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the bottom of the pole. The angle of depression from the top of the pole to the stake is 58°. Find the length of the wire in feet.
2057.8
An airplane climbs at an angle of elevation of 11°. Find the ground distance it has traveled (in feet) when it has attained an altitude of 400 feet.
18.7
Find GH.
23.4
Find GJ
4.5
Find ML.
7.5
Find NL.
21.4
Find NP.
23.7
Find NQ.
17.1
Find the measure of the indicated angle (in degrees).
22.6
Find the measure of the indicated angle (in degrees).
28.8
Find the measure of the indicated angle (in degrees).
36.9
Find the measure of the indicated angle (in degrees).
45
Find the measure of the indicated angle (in degrees).
48.2
Find the measure of the indicated angle (in degrees).
50.0
Find the measure of the indicated angle (in degrees).
66.4
Find the measure of the indicated angle (in degrees).
12.8
Find x.
12.9
Find x.
13.7
Find x.
2.0
Find x.
4.6
Find x.
43.1
Find x.
44.0
Find x.
5.5
Find x.
6.0
Find x.
6.2
Find x.
6.7
Find x.
6.8
Find x.
8.1
Find x.
8.2
Find x.
96.4
Find x.
14.5
Find y.
136.7
Henry is flying a kite. The kite string makes an angle of 43° with the ground. If Henry is standing 100 ft from a point on the ground directly below the kite, find the length of the kite string (in feet).
7.2
In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet up a road which leads to the top. Find the angle of elevation (in degrees) of the road up the hill.
25.6
The angle of depression from the top of a flagpole to a point 20 feet from its base measures 52°. Find the height of the flagpole.
57.3
A 25 foot ladder leans against a building. The ladder's base is 13.5 feet from the building. Find the angle (in degrees) which the ladder makes with the ground.
77.2
A 9-foot ladder rests against the side of a wall. The bottom of the ladder is 2 feet from the base of the wall. Determine the measure of the angle between the ladder and the ground.
184.7
A boy flying a kite lets out 300 feet of string. The angle of elevation from the ground to the kite is 38°. Assuming that the string is straight, how high (in feet) above the ground is the kite?