Sine(sin)
Cosine(cos)
Tangent(tan)
100
A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground?
The angle the ladder makes with the ground is about 53°.
100
A ladder 5 m long, leaning against a vertical wall makes an angle of 65˚ with the ground. How far is the foot of the ladder from the wall?
The ladder is 2.11 meters away from the wall.
100
A boy stands 3 feet from a flagpole. The flagpole is 12 feet tall. What is the angle from the boy to the tip of the flagpole?
The angle is .0699
200
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Round your answers to two decimal places, as needed
The ladder reaches about 5.20 meters up the wall.
200
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far from the wall is the base of the ladder? Round your answers to two decimal places, as needed.
The ladder's base is 3 meters from the wall.
200
A 50 ft pole has a support wire that runs from its top to the ground with an angle of depression of 75. How far from the base of the pole does the wire connect to the ground?
About 13.4 feet.
300
A flat 12 foot plank rests with one end on the ground and the other end upon a 4 foot ledge. What is the angle of elevation?
The angle of elevation is approximately 19.47.
300
A 15 ft ladder leans against a wall at an angle of elevation of 60º. How far from the wall is the base of the ladder?
The base of the ladder is about 7.5 ft from the wall.
300
The tallest freestanding structure in the world is 553-m tall CN tower in toronto, ontario. Suppose that at a certain time of day it casts a shadow 1100m long on the ground. What is the angle of elevation of the sun at the time of day?
The angle of elevation is 26.7.
400
A 5 ft post is supposed to be vertical, but it is 4 inches out of alignment at the top. What is the angle of lean?
The angle of lean is approximately 0.01396.
400
Some wire connects from a pole to point on the ground at an angle of depression of 80º. On the ground, the wire is 4.5 ft from the pole. How much wire is used?
25.9 feet of wire is used.
400
A private plane flies 1.3 hours at 110 mph on a bearing of 40°. Then it turns and continues another 1.5 hours at the same speed, but on a bearing of 130°. At the end of this time, how far is the plane from its starting point? What is its bearing from that starting point?
The plane is about 218 miles away, at a bearing of about 89°.
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