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Find the measure of LA.
1.
tan A = 3.0777
_
2.
cos A = 0.0349
_
3.
sin A = 04540._·
_
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Practice
Solve for each indicated angle measure.
4.
~
Express each Ingonometric ralio as a fraclion and as
£21
1. sin A
13
decimal rounded
10
the hundredths place.
7
A
~
24
B
3. tan A
7.
.
3
C
2. cos A
28
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Date
5.
38
6.
Name
4. sin C
6
5. cos C
6. Ian C
t2J
Write the word or phrase thal.correclly completes each state me'll.
8.' If you know the diStance
10 a Iree and Ihe heigh I of lhe Iree, what trigonometric <alio can you usc
to find the angle of elevation?
_
7. The_.
the adj"CeOl leg.
_
of an angle is the ratio of the length of the opposite leg to the length of
...
_ _ _ _ _ leg to the length of
8. Thc rosine of an angle is the rario of 11,e length of the
the hypotenuse.
9. An observer sees a kite al an angle of elevation of 39° The kile is direuly above a tree that is 112
feet from the observer. Find the height of the kite above the ground if the observer is 5 feel tall.
Find the srne. cosine. "nd lange'll of each angle. Round your answers to the nearest hundredth.
9. 11°
11.
10. 43°
78°
Find.t and y.
]2.
10. Standing on lhe observation deck of a skyscraper an observer
looks down and sees a major street intersection. If the angle of
depression is 54°, and the street inlersection is J08 m from the
base of the bUilding, how tall is the building? The height of
the observer is 5 fl.
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14. Anne wants to know the heIght of" tree which is 64 fI away
from her. If the angle Shown is 38°. how tall is the trcc?
Intersection
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L'
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:t
38'
64 f\
1S. A wheelchair ramp makes an angle of 50 with the horizontal as
shown. What IS the length of the ramp?
'R.
5"
-c=?---:=:J
12ft