Special Right Triangles
Trig Ratios
Angles and Sides
Solving Triangles
Angles of Elevation/Depression
100
Find x
5sqrt2
100
Find the trig ratio as a fraction and a decimal to the nearest hundredth
Sin A
Tan C
sin A = 4/5 and 0.8
tan C = 3/4 and .75
100
Two sides of a right triangle are 8 and 12. Find the hypotenuse and write it in simplest radical form
4sqrt13
100
To solve a triangle means to find_______.
All 3 sides, all 3 angles
100
Name the angle of elevation and the angle of depression in the figure.
Angle of depression: <TRZ or <ZRT
Angle of elevation: <RZY or <YZR
200
Use the special right triangles to find x. 
7sqrt2
200
Find the trig ratio as a fraction
sin Q
sin Q = 8/17
200
Find the m<Z to the nearest tenth
Z = 44.4
200
T or F , you would solve for side z using pythagorean theorem
False
200
A hockey player player takes a shot 20 feet away from a 5-foot goal. If the puck travels a 15 degree elevation toward the center of the goal, will the player score?
No, the puck's height will be 5.4. So it will go above the goal.
300
Use special right triangles to solve for x and y
x = 8
y = 16
300
On your calculator, find the trig ratio. Round to the nearest hundredth
cos 68 degrees
cos 68 = 0.37
300
Find x to the nearest hundredth
x = 16.64
300
If you were given the following triangle, what would you do to find angle y?
tan^-1 (5/9)
300
Find the angle of elevation to the peak of a mountain for an observer who is 155 meters from the mountain if the observer's eye is 1.5 meters above the ground and the mountain is 350 meters tall.
approx 66
400
Use special right triangles to solve for x and y.
x = (17sqrt3)/2 and y = 17/2
400
On your calculator find the trig ratio. Round to the nearest thousandth.
cos 42
cos 42 = .74
400
Find x to the nearest hundredth.
x = 27.44
400
Solve the triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.
g= 17.6
f= 20.8
<G= 58
400
The town of Belmont restricts the height of flagpoles to 25 feet on any property. Lindsay wants to determine whether her school is in compliance with the regulation. Her eye level is 5.5 feet from the ground and she stands 36 feet from the flagpole. If the angle of elevation is about 25 degrees, what is the height of the flagpole to the nearest tenth?
about 22.3 ft
500
Use special right triangles to solve for x and y.
x = 3
y = 1
500
1. Draw a 30,60,90 degree triangle. Write in the angles.
2. Using special right triangles, write in the sides if the small side is 1
3. Find tan 30 in simplified radical form
500
Solve the right triangle. Round the side measures to the nearest tenth and angle measures to the nearest degree. 
t= 6.7
m<R = 42
m<T = 48
500
Solve the triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.
r = 30.6
<R = 58
<T= 32
500
The angle of depression from the top of a flagpole on top of a lighthouse to a boat on the ocean is 2.9°. The angle of depression from the bottom of the flagpole to the boat is 2.6°. If the boat is 400 feet away from shore and the lighthouse is right on the edge of the shore, how tall is the flagpole? Round your answer to the nearest foot.
2 feet