7.5 Apply the tangent ratio Objective: To use the tangents ration in

7.5 Apply the tangent ratio
Objective: To use the tangents ration in trinagles
Def
1) Tangent ratio- given a right triangle ABC with acute angle a, the tangent of a is written as
follows:
tan A =
length of leg opposi te !A
BC
=
length of leg adjace nt to !A AC
Ex. 1 Find the tan S and tan R. Give answer in fraction for and in decimal form to four places.
T
24
32
S
R
40
Ex. 2 Find the value of x.
T
x
9
17 °
S
R
Ex. 3 Find the height of the flagpole to the nearest foot..
Flagpole
65°
24ft
Ex. 4 Use the special right triangle to find the tangent of a 45 degree angle and a 30degree angle.
Hwk. P. 469-472 1-31 odd 33, 39, 41
State Goals Covered
9-11-20