Solve the problem. Round answers to the nearest tenth.

Question

1. A parallelogram has sides of lengths 10.3 cm and 23.2 cm, and one of the angles is 54.2°. Find the area of the parallelogram.
2. A tower 23.5 m tall makes an angle of 110.2° with the inclined road on which it is located. Determine the angle subtended by the tower at a point down the road 28.2 m from its foot.
3. At 9 A.M. a boat leaves a pier on a course of 63.2° at 8 knots. At 10A.M. another boat leaves the same pier on a course of 108.4° at 10knots. At 12 noon (a) what is the distance between the boats and(b) what is the bearing from the first boat to the second?

Answer 1

Area of one-half of the parallelogram is

[(23.2)(10.3) sin 54.2°] / 2