Pythagorean Theorem
45-45-90
30-60-90
Trigonometry
Word Problems
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
What is the length of side y?
4√3
100
9.2
100
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.
33
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
Solve for the missing angle.
61.9
200
A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store. The shopper looks up and sees a flag on the store's roof. To the nearest degree what is the angle of elevation to the top of the building from the point on the ground where the shopper is standing?
17
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
What is the value of x?
6.9
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