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4.8 Applications and Models b = 19.4 AC B a c Solve the right triangle. B = ?= 90 – 34.2 = a = 13.18

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If the ladder is 40’ long and the angle of elevation is 42, how high up is the fireman? 40’ h

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At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is, while the angle to the top is. Find the height, s, of the smokestack alone. 200 ft. s x 265.41 -140.04 125.37 ft.

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Trigonometry and Bearings N S W E N S W E

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A ship leaves port at noon and heads due west at 20 knots (nautical miles per hour). At 2 P.M., to avoid a storm, the ship changes course to N W. Find the ship’s bearing and distance from the port of departure at 3 P.M.. A B D 2(20) = 40 nm 20 nm c d b = 16.18 =11.76 Now find angle A. Find c. c = 57.4 nm

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