In this lesson, we will learn how to apply trigonometry to solve different types of word problems.Related Topics:
A ladder 5 m long, leaning against a vertical wall makes an angle of 65˚ with the ground.
a) How high on the wall does the ladder reach?
b) How far is the foot of the ladder from the wall?
c) What angle does the ladder make with the wall?
a) The height that the ladder reach is PQ
PQ = sin 65˚ × 5 = 4.53 m
b) The distance of the foot of the ladder from the wall is RQ.
RQ = cos 65˚ × 5 = 2.11 m
c) The angle that the ladder makes with the wall is angle P
The following videos shows more examples of solving application of trigonometry word problems.
Suppose that a 10 meter ladder is leaning against a building such that the angle of elevation from ground to the building is 62 degrees. Find the distance of the foot of the ladder from the wall. Also, find the distance from the ground to the top of the ladder.
Suppose that from atop a 100m vertical cliff a ship is spotted at an angle of depression of 12 degrees. How far is the ship from the base of the cliff? Also, find the distance from the top of the cliff to the ship.
You can use the Mathway widget below to practice Trigonometry or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.
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