Pythagorean Theorem
45-45-90
30-60-90
Trigonometry
Elevation and Depression
100
Determine the length of the missing side of the right triangle.
25 cm
100
If one leg of a 45-45-90 measures 10 inches, how long is the other leg?
10 inches
100
If a right triangle has angle measures of 90 and 60, what is the third angle measure?
30
100
What acronym can be used to remember the trigonometric functions?
Soh-Cah-Toa
100
What's the relationship between the angle of elevation and the angle of depression?
They are congruent.
200
If side a=10 and side b=12 , determine the length of the hypotenuse in a right triangle using Pythagorean Theorem. Round your answer to the tenths place.
c=15.6
200
What do you multiply the short leg by to get the hypotenuse in a 45-45-90 triangle?
*Hint*- draw a triangle and label the sides of a 45-45-90 triangle!
the √2
200
How do I find the missing hypotenuse of a 30-60-90 triangle if I know the short leg?
Multiply it by 2
200
Find the ratio for tanX
27/36
200
Standing on a 35 m high cliff, you look down on your friend who is standing on the flat ground in front of the cliff. The angle along the line of sight from you to your friend is ________.
The angle of depression.
300
If the hypotenuse of a right triangle =20 feet and a leg length =14 feet, determine the length of the other leg. Simplify the radical.
2√51 feet
300
What is the hypotenuse of a 45-45-90 triangle if the short leg is 5?
5√2
300
How do I find the long leg of a 30-60-90 triangle if I know the short leg?
Multiply it by the √3
300
Find the ratio for sinX
9/15
300
A building is 50 ft high. At a distance away from the building an observer notices that the angle of elevation to the top of the building is 41º. How far is the observer from the base of the building?
57.53 feet
400
Find the missing side of this right triangle using Pythagorean Theorem. Simplify the radical.
2√13 cm
400
What is the length of c?
6√2
400
What is the measure of the short leg?
7 in.
400
Find the measure of the missing angle.
25
400
John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33º . How tall is the tree?
64.94 feet
500
Find the missing side of this right triangle using Pythagorean Theorem. Simplify the radical.
10√3
500
What is the short leg of a 45-45-90 triangle if the hypotenuse is 10√2?
10
500
What is the measure of the long leg?
7√3 in.
500
Find the missing side.
23.3
500
An angle of depression from a bird on top of a lamp post to an observer standing away from the lamppost is 35º. The distance from the bird to the observer is 25 meters. How tall is the lamppost?
20.48 meters