U1L2: Solving Right Triangles

In triangle ABC, find B, to the nearest degree, given a = 7, b = 10, and C is a right angle.

55°

Patty is 50 mi. due north of Todd. Emma is due east of Todd. If a line were drawn from Emma to Todd and from Emma to Patty, the angle formed would measure 40 degrees. To the nearest mile, how far is Emma from each person?

Emma is about 78 mi. from Patty and about 60 mi. from Todd

Which of the following values best approximates the length of c in a triangle ABC where C = 90°, b = 12, and B = 15°?

c ≈ 46.3644

A 15ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42° angle. How long is the wire, and what is the distance from the base of the pole to the spot where the wire touches the ground?

length of wire ≈ 22.4 ft., distance ≈ 16.7ft

Solve the right triangle ABC with right angle C if B = 30° and c = 10.

a ≈ 8.6602, b = 5, A = 60°