Question

1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and 72 feet and form an included angle of 120°. To determine the amount of grass seed needed, the owner needs to know the area of the yard. Find the area of the yard.

2- A 310 foot tall tower is supported by guy wires that run from the tower’s top to the ground making angles of 70° with the ground. Find the length of each wire.

3- A kite string makes an angle of 36°45’ with the level ground when 342 feet of string are out. How high is the kite?

4- A fence along one side of a triangular lot is 68 meters long and makes angles of 32° and 42°40’ with the other two sides. How long are the other two sides?

5-What is the angle of elevation of the sun when a 6 foot 4 inch man casts an 11.2 foot shadow?

6- A city lot is in the shape of a triangle with sides 207 feet, 198 feet and 289 feet. Find each angle in the lot.

7- Points A and B are markers on opposite sides of a football field. If marker C is located on the field, 30 feet from marker B, and Angle C is 75° and Angle A is 30°, find the distance from point A to point B.

8- Find the angle of elevation of the sun if a 50.2 foot flagpole casts a shadow 73.2 feet long

9- Two boats on a still lake leave the dock at the same time, diverging at an angle of 60°. When one boat is 100 meters from the dock, the other boat is 120 meters from the dock. If each is traveling in a straight path, how far apart are the boats?

10- . Two sides of a triangular-shaped template are 8.3 inches and 6.6 inches. An angle of 53° lies opposite the 8.3 inch side. Compute the angle that lies opposite the 6.6 inch side.

Answer 1