Various Ratios Worksheets Page 2
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You can use the TAN
function on your calculator to find the measure of
an acute angle of a right triangle when you know the measures of the two
legs.
2
Example
Find the measure of
A to the nearest degree.
C
From the figure, you know the
10 m
6 m
measures of the two legs. Use the
definition of tangent.
o
p
p
o
s
i
te
l
e
g
A
B
tan A =
ad
j
a
c
e
n
t l
e
g
6
tan A =
1
0
Now use your calculator to find the measure of
A.
[ TAN
1
] 30.96375653
6
10
2nd
The measure of A is about 31°.
CHECK FOR UNDERSTANDING
Communicating
Read and study the lesson to answer each question.
Mathematics
Write a definition of the tangent ratio.
1.
Tell how to use the tangent ratio to find the measure of a leg of a right
2.
triangle.
Tell how to find the measure of an angle in a right triangle when you know the
3.
measures of the two legs.
Find each tangent to the nearest tenth.
K
Guided Practice
Find the measure of each angle to the
nearest degree.
12 m
4. tan J
5. tan K
6. m J
7. m K
R
J
20 m
8. Find the value of x to the nearest tenth.
x km
20
˚
10 km
9. Measurement A guyline is fastened to a TV tower 50 feet above the
ground and forms an angle of 65° with the tower. How far is it from the base
of the tower to the point where the guyline is anchored into the ground?
Round to the nearest foot.
2
Trigonometry
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