1.
Determine the value of cos A.
Solution: Using the Pythagorean theorem, AC=5. Therefore cos(A)=adjacent/hypotenuse=4/5.
2.
Cosine is which of the following ratios?
Solution: Cosine = adjacent ÷ hypotenuse.
3.
Determine the cosine ratio for ∠K.
Solution: Adjacent side = 12 and hypotenuse = 37. Therefore cos(K)=12/37.
4.
A submarine ascends to the surface from the ocean floor. The distance measured along the submarine's path is 600 m. The angle of inclination is 21°. Determine the horizontal distance travelled to the nearest metre.
Solution: cos(21°)=x/600. Therefore x=600×cos(21°)=560 m.
5.
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Solution: cos(Q)=5.1/9.3=0.5484. Therefore Q=cos⁻¹(0.5484)=56.7°.
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