Special Right Triangles
Sine, Cosine, and Tangent
Solving Right Triangles
SOHCAHTOA
100
Solve for x in the triangle shown. Write answers in exact form.
x = 3
100
Name the sin, cos, and tan of angle S.
sinS=28/53
cosS=45/53
tanS=28/45
100
What does it mean to solve a right triangle?
To find all angles and sides.
100
What trigonometric ratio would you use to find y?
Sine
200
Solve for x and y in the triangle shown. Write answers in exact form.
x=16sqrt3, y=8sqrt3
200
Find sin x and tan x, given that
cos x =5/7
sin x = sqrt(24)/7 or (2sqrt6)/7
tan x = sqrt(24)/5 or (2sqrt6)/5
200
Solve the triangle. Round to the nearest hundredth.
mangleG=65
h=5.49
g=11.78
200
Find x.
x=23
300
The perimeter of a square is 68 meter. Find the length of the diagonal. Write exact answer.
17sqrt2
300
From a hot-air balloon, Sasha measures a 38 degree angle of depression to a landmark that’s 1922 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
1501.63 feet
300
Solve the triangle. Round answers to the nearest hundredth.
GJ=60
mangleH=33.40
mangleG=56.60
300
Solve for the missing angle.
26 degrees
400
The perimeter of an equilateral triangle is 30 cm. What is the length of its altitude. Write the exact answer.
5sqrt3
400
If a person was standing 35 feet from a tree that is 43 feet tall, what is the measure of the angle of elevation to the nearest tenth?
50.9 degrees
400
Solve the triangle. Round to the nearest tenth.
mangleK=50
KL=5.1
ML=6.1
400
1.5 meters
500
Find x. Write the exact answer with simplified radicals.
x=2sqrt3
500
If a person is flying a kite and they let the string out 95 feet with an angle of elevation at 44 degrees, what is their horizontal distance from the kite?
68.3 feet
500
Solve the triangle.
mltK=67
JL=56.2
JK=23.8
500
Given all side lengths of a right triangle, which trigonometric ratio would you use to find the missing acute angles?
You can use any of them! Sine, Cosine, or Tangent