Geometry Applications
Inverse Trig
Pythagorean Theorem
Similar Figures
Solve the Problem
100

The number of square feet of wallpaper need to cover the four walls of a room that is 15 feet wide, 18 feet long and 12 feet tall. Note: subtract out the door (24 sq ft) and the window (50 sq ft).

What is 718 sq ft?

100
Inverse trig functions are used to find...
What is angle measures?
100
The length of the hypotenuse of an isosceles right triangle with legs of length 12 ft.
What is 16.97 ft?
100
In similar triangles ABC and XYZ, angle BAC in the first triangle has the same measure as angle ____ in the second triangle.
What is angle YXZ?
100
In a right triangle with legs of length 40 and 30, the measures of the acute angles.
What are 53.13 degrees and 36.87 degrees?
200

The volume of water needed to fill a swimming pool that is 30 feet long, 15 feet wide and 10 feet deep.

What is 4500 cubic feet of water?

200
A right triangle has legs of equal length, both are 8 inches long. The measures of the two acute angles are...
What is 45 degrees for both?
200
A 25 foot ladder leans against a wall, while the base of the ladder is 7 feet from the wall. The height at which the ladder touches the wall is __.
What is 24 feet?
200
Right triangle ABC is similar to triangle XYZ. ABC has side lengths 3, 4 and 5 cm. The smallest leg of XYZ is 1 cm. The length of the hypotenuse of XYZ is __.
What is 5/3?
200
In a right triangle with hypotenuse 15 m and an angle of 30 degrees, the lengths of the legs.
What are 7.5 m and 12.99 m?
300

The weight of a sphere of rose quartz that has a radius of 2 feet. 

Note: the weight of rose quartz is 162 pounds per cubic foot.

What is 5,429 pounds?

300
A rectangle is cut in half by its diagonal that has a length of 10 inches. If the width of the rectangle is 2 inches, the measures of the acute angles created by the diagonal are...
What is 78.46 and 11.54 degrees?
300
The length of the diagonal of a square garden with area 16 square feet.
What is 5.66 feet?
300
Triangle ABC has side lengths 3, 4 and 5 cm. Triangle XYZ has side lengths 10, 11, and 12 cm. Are the two triangles similar? Why or why not?
No, 10/3 does not equal 11/4, so ratios of corresponding sides are not equal.
300
A 13 foot tree casts a 20 foot shadow, while a nearby building casts a 50 foot shadow. The height of the building __.
What is 32.5 feet?
400

The volume of wood in a tree trunk that is 43 feet tall with a diameter of 24 inches (radius is one foot).

What is 135 cubic feet of wood?

400
A right triangle has a hypotenuse of length 15 and side a is length 12. Find the measure of the angle created by side a and the hypotenuse.
What is 36.87 degrees?
400
A 250-foot zip line zooms people from the top of a 200 foot building to the ground. The distance from the bottom of the building to where the zip line touches the ground is ______
What is 150 feet?
400
True or False: All circles are similar.
True.
400
A plane has altitude of 1/2 mile when it is 3 horizontal miles from the airport. It makes a steady angle of decline to land. The angle its path makes with the ground is __.
What is 9.46 degrees?
500

The surface area of a regular 6-sided die is 24 square inches. What is the side length of one face of the die?

What is 2 inches?

500
You are standing 50 feet away from the base of a 30 foot tree. The angle of elevation from your feet to the top of the tree is...
What is 30.96 degrees?
500
True or False: Pythagorean Theorem can be used on any triangle.
What is False?
500
True or False: All equilateral triangles are similar.
True.
500
Standing 50 feet from a tall tree, the angle of elevation of your gaze is 75 degrees to the top of the tree. The height of the tree is __.
What is 186.6 ft?
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