1.
Which side is considered the 'adjacent side' for ∠P?
Solution: The adjacent side is beside angle P and is not the hypotenuse. Therefore PQ.
2.
Determine the length of side d to the nearest tenth of a centimeter.
Solution: tan(20°)=10.1/d. Therefore d=10.1/tan(20°)=27.7 cm.
3.
What is the value of a?
Solution: tan(34°)=8/a. Therefore a=8/tan(34°)=11.86.
4.
A road has an angle of inclination of 16°. Determine the increase in altitude of the road, to the nearest metre, for every 150 m of horizontal distance.
Solution: tan(16°)=x/150. Therefore x=150×tan(16°)≈43 m.
5.
A ladder leans against a wall. The base of the ladder is on level ground 1.2 m from the wall. The angle between the ladder and the ground is 70°. How far up the wall does the ladder reach, to the nearest tenth of a metre?
Solution: tan(70°)=x/1.2. Therefore x=1.2×tan(70°)≈3.3 m.
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