Aim #25: How do you solve problems using sine, cosine and tangent? CC Geometry R
Do Now: a. Use a calculator to find the sine and cosine of θ . Give your answer
rounded to the ten-thousandth place. b. What do you notice about the numbers in the row sin θ compared with the
numbers in the row cos θ?
c. Provide an explanation for what you noticed.
The sine of an angle equals the__________ of its___________________.
The ________ of an angle equals the sine of its___________________.
1. Solve for x, to the nearest integer.
2. Solve for x, to the nearest hundredth.
3) a. Use sin 40 to find a, rounded to the nearest hundredth.
b. Use cos 50 to find a.
c. Calculate the length of side b using either sin or cos, to the nearest hundredth.
4. Solve for x to the nearest hundredth.
5. Solve for y to the nearest integer.
6. Find the height of the tree in the accompanying diagram, to the nearest tenth
of a foot.
7. The accompanying diagram shows a ramp leaning against a wall 15 feet high at
a construction site. If the ramp forms an angle of 32° with the ground, how long
is the ramp, to the nearest hundredth?
8. In ΔTED, DT = 15, m≮D = 50° and m≮E = 90°. Find the length of DE to the
nearest hundredth.
9. Gus is painting the outside of his house. He needs to use a ladder to paint the
window shutters on the second floor. The window is 20 feet above the ground.
In order to be safe, the ladder must make an angle of 36° with the wall of the
house. To the nearest foot, how long of a ladder does Gus need?
10. The space shuttle Enterprise took off from Washington D.C., to be delivered
to New York City. The airplane carrying the Enterprise took off at an angle
o
of elevation of 5 . The plane reached a cruising altitude of 35,000 feet.
a) To the nearest foot, how much ground distance has the plane covered
when it reaches its cruising altitude?
b) How many miles on the ground has the plane covered? 1 mile = 5,280 feet
(Round your answer to the nearest mile.)