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Pre-Calculus - Eduware

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V. TRIGONOMETRY 2. Trigonometry of the Right Angle<br />

A. Sin, Cos, and Tan Functions<br />

1565. In the diagram below, maC = 90º, maA and<br />

CA = 10.<br />

1568. In the accompanying diagram of right triangle ABC, what is<br />

tan C?<br />

Which equation can be used to find AB?<br />

(1) (3)<br />

(2) (4)<br />

1567. A 20-foot ladder is leaning against a wall. The foot of the<br />

ladder makes an angle of 58° with the ground. Find, to the<br />

nearest foot, the vertical distance from the top of the ladder<br />

to the ground.<br />

(1) 2<br />

3<br />

(2) `13<br />

3<br />

(3) 3<br />

2<br />

(4) 2<br />

`13<br />

1571. In the accompanying diagram of right triangle ABC, b = 40<br />

centimeters, maA = 60º, and maC = 90º. Find the number<br />

of centimeters in the length of side c.<br />

17 ft<br />

1569. If tan A = 0.4548, find the measure of aA to the nearest<br />

degree.<br />

24º<br />

80 cm<br />

1572. In the accompanying diagram of right triangle ABC, the<br />

hypotenuse is AB , AC = 3, BC = 4, and AB = 5.<br />

1570. The straight string of a kite makes an angle of elevation<br />

from the ground of 60°. The length of the string is 400 feet.<br />

What is the best approximation of the height of the kite?<br />

(1) 200 ft (3) 300 ft<br />

(2) 250 ft (4) 350 ft<br />

1573. If tan A = 1.3400, find the measure of aA to the nearest<br />

degree.<br />

53º<br />

1575. If tan A = 0.5400, find the measure of aA to the nearest<br />

degree.<br />

28º<br />

Sin B is equal to<br />

(1) sin A (3) tan A<br />

(2) cos A (4) cos B<br />

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