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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?

In triangle ABC, if a = 12, b = 15, and c = 17, find the measure of the largest angle.

Two sides and an angle are given. Determine the number of triangles the given information results in. For triangle ABC, if a = 8, b = 10, and B = 52°, the following is true.

Two sides and an angle are given. Determine the number of triangles the given information results in. For triangle ABC, if a = 9, b = 11, and B = 48°, the following is true.

Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 45 feet from point A and 75 feet from point B. The angle ACB is 59°. How far apart are points A and B?

In triangle ABC, if a = 9, b = 16, and c = 18, find the measure of the largest angle.

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

A room in the shape of a triangle has sides of length 6 yd, 9 yd, and 14 yd. If carpeting costs $14.50 a square yard and padding costs $5.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?

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