Transcript Application to Trig

1.
adj 14
24
x opp
Work out the trigonometry steps using a flow map:
Tan 24 =x/14
14 * tan 24
x=6
x
2.
opp 24
25
hyp
24
Sin x = 25
2nd sin(24/25)
X = 74
3.
27
6
adj
x
hyp
6
Cos 27 = x
6 / cos 27
X=7
26
4.
opp
x
adj
16
Tan 26 = 16
x
16 / tan 26
X = 33
10
5.
opp
Sin x =
x
hyp
30
10
30
2nd sin (10/30)
X = 19
6. A flag pole of height 26 ft has a shadow of
length 15 ft at 7am. Find the angle of
elevation of the sun according to the
diagram. As it gets closer to lunch time,
do you think the angle would get smaller
or larger?
Tanx= 26
15
26ft
2nd tan (26/15)
60º
xº
15ft
As it gets closer to lunch time, the sun rises
and the shadow gets smaller. It appears the
angle gets larger……lets check.
7am
11am
26ft
26ft
60º
69º
15ft
10ft
Tanx=26/10 then x=69º
7. A plane is making an emergency landing. The
runway is 150 yards and he has 200 more
yards before he hits land. At what angle will
he meet the ground?
200 yds
hyp
x
150 yds
adj
Cosx = 150
2ndCos = (150/200)
200
The plane will meet the ground
at and angle of 41º
RECAP
What is the sin ratio?
oppostie
hypotenuse
What is the cos ratio?
adjacent
hypotenuse
What is the tan ratio?
opposite
adjacent
What calculator key do you use when
calculating the angle?
2nd
If x is on the bottom do you multiply or
divide
divide?
HOMEWORK
Page 773 43-47 all
How many things do you see?