Solving Triangles Practice Using Area and Laws

Solving Triangles Practice – Using Area and Laws

Solve the following problems.

1. Find the area of the triangle whose sides are 12cm., 5cm. and 13cm.

2. A farmer has a triangular field with sides 120 yards, 170 yards, and 220 yards. Find the area of the field in square yards. Then find the number of acres if 1 acre = 4840 square yards.

3. The course for a boat race starts at point A and proceeds in the direction S 52° W to point B, then in the direction S 40° E to point C, and finally back to A, as shown in the figure. Point C lies 8

kilometers directly south of point A. Approximate the total distance of the race course.

4. During a rescue mission, a Marine fighter pilot receives data on an unidentified aircraft from an AWACS plane and is instructed to intercept the aircraft. The diagram shown below appears on the screen, but before the distance to the point on interception appears on the screen, communications are jammed. Fortunately, the pilot remembers his trigonometry. How far must the pilot fly?

5. A golfer his a drive 260 yards on a hole that is 400 yards long. The shot is 15° off target.

What is the distance x from the golfer’s ball to the hole?

8.) Some students in CCM2 are assigned the task of measuring the distance between two trees separated by a swamp. The students determine that the angle formed by tree A, a dry point C, and tree B is 27°. They also know that mÐABC is 85°. If AC is 150 ft, how far apart are the trees?

9) Peter has three sticks measuring 19 inches, 23 inches, and 27 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by the 19 inch and 23 inch sides to the nearest degree.