CHAPTER 8 EXTRA PRACTICEPYTHAGOREAN THEOREM, SPECIAL RIGHT TRIANGLES, TRIG. RATIOS

1. At a point on the ground 100 ft. from the foot of a flagpole, the angle of elevation of the top of the polecontains a 31 degree angle. Find the height of the flagpole to the nearest foot.

2. Find the length of the side ofa square whose diagonal is 6.

3. From the top of a lighthouse 190 ft. high, the angle of depression of a boat out at sea is 34 degrees. Findto the nearest foot, the distance from the boat to the foot of the lighthouse.

4. The congruent sides of an isosceles triangle are each 15 in. and the base is 24 in. Find the length of thealtitude drawn to the base.

5. If cos A = sin 30°, then angle A measures how many degrees?

6. Find the length of the diagonal of a square whose side is 6 in. in length.

7. Find to the nearest degree the measure of the angle of elevation of the sun if a post 5 ft. high casts ashadow lOft. long.

8. The lengths of the bases of an isosceles trapezoid are 8 and 14 and each of the bases angles measures 45degrees. Find the length of the altitude of the trapezoid and the length of the legs.

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