Mathematics 5
Review Worksheet 4
1.
A tower stands on top of a hill. From a point on level ground,
the angle of eleveation to the top of the tower is 18°.
From a point 250 m closer to the hill, the angle of elevation to the
top of the tower is 23°, and the angle of elevation to the bottom of
the tower is 20°.
How tall is the tower?
2.
Fill in the chart. Do not use a calculator. You may use
a pencil and paper.
| angle in degrees |
angle in radians |
sine |
cosine |
tangent |
cosecant |
secant |
cotangent |
| 0 |
. |
. |
. |
. |
. |
. |
. |
| 30 |
. |
. |
. |
. |
. |
. |
. |
| 45 |
. |
. |
. |
. |
. |
. |
. |
| 60 |
. |
. |
. |
. |
. |
. |
. |
| 90 |
. |
. |
. |
. |
. |
. |
. |
3.
Prove the following.
2cosx / cscx(1-sin2x)
= 2 tanx
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