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pre-calc 4.8

# pre-calc 4.8 - Section 4.8 Applications of Trigonometric...

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Section 4.8 Applications of Trigonometric Functions Solving a right triangle means finding the missing lengths of its sides and the measurements of its angles. a is the side opposite angle A . b is the side opposite angle B . c, the hypotenuse, is the side opposite angle C (right angle) Use the sine, cosine, or tangent function to solve the right triangle. EX 1: Solve the right triangle. Round lengths to two decimal places and express angles to the nearest tenth of a degree. Trigonometry as first developed to measure heights and distances that were inconvenient or impossible to measure directly. In solving application problems, begin by making a sketch involving a right triangle that illustrates the problem’s conditions. Then use an appropriate trigonometric function to find the required distance, height, or angle. EX 2: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top of the cliff is 22.3º, how far off shore, to the nearest foot, is the ship?

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