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Trigonometry
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100
The angle of elevation from point G on the ground to the top of a flagpole is 20 degrees. The height of the flagpole is 60 feet. Give the equation that can be used to find the distance from point G to the base of the flagpole.
What is tan 20 degrees = 60/x
100
Name a polyhedron with 20 faces.
What is an icosohedron.
100
A sign is shaped like an equilateral triangle. If one side of the sign is 36 inches, what is the approximate area of the sign?
What is 561 in squared.
100
An angle whose vertex goes is the center of the circle is called a __________ angle.
Central
100
Find the midpoint between (-2, 2, 3) and (1, 4, 5).
What is (-1/2, 3, 8).
200
A mountain climber stands on level ground 300 m from the base of a cliff. The angle of elevation to the top of the cliff is 58 degrees. What is the approximate height of the cliff?
What is 480 m.
200
What is the ratio of the surface areas of two spheres with volumes of 64 cm cubed and 125 cm cubed.
What is 16 to 25.
200
What is the approximate area of an isosceles trapezoid with base 1 being 12 cm, base 2 being 20 centimeters and a height of 4 root 3 cm?
What is 110 cm squared.
200
Inscribed angle ABO subtends arc AB. If the measure of ABO is 30 degrees, what is the measure of the arc AB?
60
200
An apple pie is cut into six equal slices. If the diameter of the pie is ten inches, what is the approximate arc length of one slice of pie?
What is 5.24 in.
300
A 20 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approximate measure of the angle the ladder forms with the ground?
What is 69.5 degrees.
300
What is the approximate surface area of a regular tetrahedron with edge length of 12 cm?
What is 249.4 square cm.
300
A parallelogram has a base of 8 corresponding to a height of 22. The other base of the parallelogram is 16. What is the corresponding height to the 16 base?
What is 11.
300
Inscribed angle ABO measures 2x and inscribed angle ANO measures 3x-4. Find x.
4
300
The measure of each exterior angle of a regular polygon is 45 degrees. How many sides does the poilygon have?
What is 8 sides.
400
A ladder is leaning against the side of a building. The ladder is 30 feet long, and the angle between the ladder and the building is 15 degrees. About how far is the foot of the ladder from the building?
What is 7.76 feet.
400
An inflated round balloon with radius of 50 centimeters holds approximately 523,600 cubic centimeters of air. When the balloon is contracted such that the radius is 2/3 the original size, what is the approximate volume of the partially deflated balloon?
What is 155,140 cm cubed.
400
A circle is inscribed in a square with side length of 11 inches. If a point is randomly chosen inside the square, what is the approximate chance that the point lies outside the circle?
What is 21 percent.
400
Point A is outside of our circle D. Points B and C are on the circle. Angle BAC measures 30 degrees. Find the measure of angle BDC.
150
400
Triangle P'Q'R' is the image produced after reflecting Triangle PQR across the y-axis. If vertex P has coordinates (s,t) what are the coordinates of P'?
What is (-s. t).
500
Susan is making a small cone out of paper. The cone has a radius of 13.2 cm, and the angle between the lateral surface area and the base is 38.6 degrees. The formula for the lateral area of a cone is pi*r*l where r is the radius and l is the slant height. What is the cone's approximate lateral area?
What is 700 cm squared.
500
The intersection of a sphere and a plane is a circle with a radius of 8 cm. If the sphere has a radius of 18 cm, how far is the plane from the center of the sphere?
What is 16.12 centimeters.
500
To win a carnival gae, Keisha must throw a dart and hit one of 25 circles in a dartboard that is 4 feet by 3 feet. The diameter of each circle is 4 inches. Approximately, what is the probability that a randomly thrown dart that hits the board would also hit a circle?
What is 18 %.
500
Mrs. Kasper ate 67 degrees of a pizza with a radius of 6 inches. However, she removed the crust which is 1" wide. What is the area of the pizza she consumed?
14.6 in^2
500
A gardener wants to enclose a circular garden with a square fence (circle inscribed in a square). If the circumference of the circular garden is about 48 feet, what is the approximate length of fencing needed?
What is 61 feet.