Final Exam Review 1 - Scf
Final Exam Review 1 - Scf
Final Exam Review 1 - Scf
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Applications Involving Right Triangles<br />
6. A ship is offshore New York City. A sighting is taken of the Statue of Liberty,which is about 305<br />
feet tall. If the angle of elevation to the top of the statue is 20°, how far is the ship from the base<br />
of the statue? (Round to nearest hundredth)<br />
7. A boat travels on a course of bearing N 37º 10′ W for 79.5 miles. How many miles north and<br />
how many miles west has the boat traveled?<br />
8. A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters<br />
from the base. What angle does the cable form with the vertical tower?<br />
Reference Angles<br />
9. Find the exact values of each of the following trigonometric functions using reference angles when<br />
necessary.<br />
a) sin 225° b) cos(5π/6) c) tan 300°<br />
d) sin (7π/2) e) cot (−3π) f) sec (–3π/4)<br />
3<br />
10. Find θ, if 0º < θ < 360º and sinθ = − and θ is in QIV.<br />
2<br />
Definition III: Circular Functions<br />
11. Use the unit circle to find all values of θ between 0 and 2π for which<br />
a)<br />
1<br />
sinθ = −<br />
b) cos θ = 0<br />
c) tanθ = − 3<br />
2
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