Download 6.4 Apply the tangent ratio

Geom 02_02_17 sect 6_4
February 02, 2017
Opener:
1) Find the value of x.
6.4
Apply the tangent ratio
Y
26
X
24
x
Z
I can understand that by similarity, side ratios in right
triangles are properties of the angles in the triangle, leading
to definitions of trigonometric ratios for acute angles.
Solve for x.
2)
3)
Hypotenuse (hyp)- Side across from the RIGHT angle
If given 2 sides of a right triangle,
Adjacent leg (adj) - Leg next to the acute angle
then use pythagorean theorem to find the third side.
Opposite leg (opp)- Leg across from the acute angle
hypotenuse
X
adjacent
leg
hypotenuse
Y
hypotenuse
opposite
leg
X
Z
opposite
leg
adjacent
leg
TANGENT RATIO
Y
If given 1 side and an acute angle of a right triangle,
then use trigonometry to find the other sides.
adjacent
leg
Z
TRY
ME
O
N
GO
TRI
opposite
leg
1.
Find tan A and tan B. Write each answer as
a fraction AND as a decimal rounded to four
places.
Tan A =
opp
tan A = adj
Tan B =
what do you notice about the ratios?
tan A =
opp
adj
Geom 02_02_17 sect 6_4
February 02, 2017
tan A =
MUST have a calculator!
Find the value of x to the nearest tenth.
2.
opp
adj
3.
in
be ode
t
s
M
Mu r e e
g
e
D
4. Write two equations you can use to find the value of x.
Then find the value of x to the nearest tenth.
tan A =
opp
adj
hint: find the value of the other angle
Extension #5:
tan A =
a) Find the area of the triangle. Round to the nearest tenth.
19˚
b) Find the perimeter of the triangle. Round to the nearest tenth.
6.4 Tangent Ratio
Assignment: WS
opp
adj