Pre calc Unit1 Lesson 2 Solving Right Triangles

John is looking up at the top of the Empire State Building from 1 mi. away and measures the angle of the elevation to be 11 degrees. Use this information to find the approximate height of the Empire State building to the nearest foot.

1,026 ft.

A 96 ft. tree casts a shadow that is 120 ft. long. What is the angle , to the nearest hundredth, the sun makes with the ground?

38.66 degrees

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

55 degree

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.

Assume angle C is a right angle, and given the conditions c= 2, <B= 45, solve for the side lengths of the right triangle.

The other side lengths of the triangle are both equal to sqrt 2.

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

c=46.3644

A 15 ft. 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 =16.7 ft

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

a=8.6602, b=5, A= 60 degree