Solving Triangles
1. Solve the right triangle. \( b = 8, a = 2, C = 90^\circ\)
SOLUTION
2. Solve the right triangle. \( a = 6, B =
40^\circ, C = 90^\circ \)
SOLUTION
3. Solve the triangle. \( a = 3, b = 2, A = 50^\circ \)
SOLUTION
6. Solve the triangle. \( a = 4, b = 3, c = 6 \)
SOLUTION
7. Solve the triangle. \( b = 5, c = 8, A = 22^\circ\)
SOLUTION
8. Two observers simultaneously measure the angle of elevation of a
helicopter. One angle is measured as \(28^\circ\), the other as
\(40^\circ\). If the observers are \(100\) feet apart and the
helicopter lies over the line joining them, how high is the helicopter?
SOLUTION
7. An airplane flies due north from Ft. Myers to Sarasota, a
distance of 150 miles , and then turns through an angle of \(50^\circ\)
and files to Orlando, a distance of 100 miles. (a) How far is it
directly from Ft. Myers to Orlando? (b) What bearing should the pilot
use to fly directly from Ft. Myers to Orlando?
SOLUTION
8. In light of a proposed ski lift from P to Q, a surveyor measures
angle DPQ to be \(25^\circ\), and then he walks off a distance of 300
meters to R and measures angle PRQ
to be \(15^\circ\). What is the distance from P to Q?
SOLUTION
