Transcript Chapter 14 Day 1


In a right triangle, the trigonometric ratios
are as follows:
sin  
cos 
tan  

A way to help remember this is:
› SOH-CAH-TOA
1.
2.
3.
4.
ABC
where C  90o , A  58o ,
c  27
5.
ABC
where B  90o , a  14 ,
b  25
6.
ABC
where C  90o , a  103 , b
 496

The angle of elevation is the angle from
an imaginary horizontal line and the
observer’s line of sight to an object that
is above the horizontal line.

The angle of depression is the angle from
an imaginary horizontal line and the
observer’s line of sight to an object that
is below the horizontal line.
7. Mary is flying a kite on a 50-meter string.
The string is making a 50o angle with the
ground. How high above the ground is
the kite?
8. A ladder leaning against the side of a
o
house forms an angle of 65 with the
ground. The foot of the ladder is 8 feet
from the building. Find the length of the
ladder to the nearest foot.
9. The angle of depression to a buoy from
a lighthouse 120 feet above the surface
of the water is 10o. Find the horizontal
distance from the lighthouse to the buoy.

10. Kramer is standing at the edge of the
roof of his apartment building. His car is
parked on the ground 90 feet away from
the building. His line of sight to the car
o
forms a 50 angle of depression. If
Kramer is 6.5 feet tall, how tall is the
building?

The two special right triangles that we have are
30-60-90
45-45-90
and
.
45-45-90 Triangle:
30-60-90 Triangle:
11.
12.
13.
14.