Pythagorean Thm
Special Right Triangles
Trig Functions
Finding missing angles
Word Problems
100
What is the Pythagorean Theorem and what type of triangle can you use it for?
a2+b2=c2
Right Triangles
100
In a 45-45-90 triangle, the legs are each 8. What is the length of the hypotenuse?
8sqrt2
100
What trig function is defined as opposite over hypotenuse?
Sine
100
To find an unknown angle in a right triangle you have to use:
Inverse or arc
100
A kite is flying at the end of a 150 m string. The string makes an angle of 75° with the ground. How high above the ground is the kite? Round to the nearest hundredth.
144.89m
200
Find the hypotenuse of the right triangle if one leg measures 6 inches and the other leg 8 inches
10 inches
200
In a 30-60-90 triangle, the shorter leg is 6. What is the length of the hypotenuse?
12
200
Explain how to tell which side of a right triangle is adjacent to the angle and which side is the hypotenuse
Any given acute angle in a right
triangle is formed by one leg and the
hypotenuse. The hypotenuse is across
from the right angle, and the leg is
called the adjacent leg.
200
What is the value of angle B? Round to the nearest tenth
36.9 degrees
200
A ramp is 60 m long. It rises a vertical distance of 8 m. Find the measure of the angle of depression. Round to the nearest hundredth
7.66 degrees
300
Find the missing leg of the right triangle if one leg measures 9 and the hypotenuse measures 15
12
300
A 45-45-90 triangle has a hypotenuse of 10. What is the length of each leg?
5sqrt2
300
Write the ratio of cos J
8/15
300
What is the value of angle x? Round to the nearest tenth
70.5 degrees
300
When the angle of elevation of the sun measures 42°, a tower casts a 26 m shadow. How tall is the tower? Round to the nearest hundredth.
23.41 m
400
Is the following triangle acute, right, or obtuse?
4.8, 28.6, and 29
Right
400
The longer leg in a 30-60-90 triangle is 5sqrt3. What is the length of the shorter leg and hypotenuse?
Short Leg: 5
Hypotenuse: 10
400
Find x, round to the nearest tenth
7.6
400
Describe the error:
<T=sin^-1(8/17) 15 is the adjacent side, not the hypotenuse
400
From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground measures 28°. Find the distance from the plane to the rock. Round to the nearest hundredth.
2556.07 m
500
Is the following triangle acute, right, or obtuse?
6, 2sqrt55 , 17
Obtuse
500
In a 30-60-90 triangle, the hypotenuse is 14. Find the length the longer leg
7sqrt3
500
Find the values of r and s. Round to the nearest tenth
r=19.0
s=17.7
500
Solve the triangle (find all missing sides and angles). Round to the nearest tenth.
<T: 33 degrees
RS: 9.7
RT:17.9
500
A surveyor is 130 ft from a tower. The tower is 86 ft high. The surveyor’s instrument is 4.75 feet above ground. Find the angle of elevation. Round to the nearest hundredth.
32.01 degrees