A room in the shape of a triangle has sides of length 7 yd, 8 yd, and 11 yd. If carpeting costs $19.50 a square yard and padding costs $3.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?

Two sides and an angle are given. Determine the number of triangles the given information results in. For triangle ABC, if a = 10, b = 12, and B = 51°, the following is true.

An airplane is sighted at the same time by two ground observers who are 4 miles apart and both directly west of the airplane. They report the angles of elevation as 12° and 21°. How high is the airplane?

Complete the identity.sin (A + B) + sin (A – B) = ?

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.a = 8, b = 5; Find c and β.

In triangle ABC, if a = 11, b = 14, and c = 15, find the measure of the largest angle.

Find sin , given that cos θ = – and θ terminates in 180° < θ < 270°.

Two sides and an angle are given. Determine the number of triangles the given information results in. For triangle ABC, if a = 7, b = 9, and B = 49°, the following is true.

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.a = 4, b = 6; Find c and β.

Write the expression