Right Triangles
SOHCAHTOA
Areas of Polygons
Areas of Circles etc
Area & Trig
100
What is the length of the hypotenuse of a right triangle, given a=3 and b=4
What is 5?
100
What does SOH CAH TOA represent?
What is Sin x = opp/hyp, Cos x = adj/hyp, Tan x = opp/adj
100
What is the area of a rectangle given it's base is 2,000,235m and it's height is 3m. Use the correct units in your answer.
What is 6,000,705 m^2
100
What is the area of a circle with a radius of 4.5cm? Leave your answer in pi form.
What is 20.25 pi?
100
What is the area of a trapezoid given: Base 1 = 3 Base 2 = 4 Height = 10
What is 35?
200
What type of triangle (right, acute, obtuse) do you have if the side lengths are 6,11 and 14.
What is obtuse?
200
What is the length of a hypotenuse of a right triangle given measure of angle C = 38 degrees and side c = 13 inches.
What is 21.12 inches
200
Given a 9 sided regular polygon, find the measure of the central angle.
What is 40 degrees?
200
What is the perimeter of a semicircle with radius 3? Leave your answer in pi form.
What is 3pi + 6
200
What is the area of a kite with 2 equal diagonal lengths of 12?
What is 72?
300
In a 45-45-90 triangle the hypotenuse is 6. What are the side lengths?
What is 6 divided by root 2?
300
A right triangle has a side of six and the opposite angle has a measure of 23 degrees. What is the length of the hypotenuse?
What is 6.518?
300
What is a polygon?
What is a dead parrot?
300
What is the area of a triangle inside a circle that makes a central of 110 degrees and has a radius of 3cm?
What is 4.228?
300
Given a right triangle with side a = 3 and side b= 4 find measure of angle A.
What is 36.87?
400
The whole number forms a Pythagorean triple with 40 and 17?
What is 9?
400
Side a = 5sqrt3, and side c=10. Angle C is a 90 degree angle. Find cos B.
What is 30 degrees?
400
Find the area of a regular hexagon with an apothem of 3. Leave your answer in simplified radical form (no square roots in the denominator)
What is (3sqrt 3)/2
400
Find the area of a square with a radius of 5cm.
What is 35.29cm^2
400
Find the area of the SECTOR of the circle created by a triangle with a central angle of 60 degrees and radius 6.
What is 3.2611?
500
The Hubble Telescope is orbiting the earth 660km above the Earth's surface. The radius of the Earth is 6370km. Find the distance from the telescope to the earth's horizon. Round your answer to the nearest ten kilometers. See Diagram 1
What is 2830KM?
500
What is the height of one of the Egyptian pyramids if the base is a square and the faces / sides of the pyramid are inclined at an angle of 52 degrees?
What is 52m?
500
Find the area of a 9 sided polygon given the radius of 5 cm and a side length of 3.4202 cm.
What is 26.3199 cm^2
500
What is the area of the section made by the two hands of a clock, when the hands are 4 mins apart? The large hand if 6 inches long. Leave your answer in pi.
What is 2.4 pi?
500
Paula spots a glider located at an angle of elevation of 72°. The distance between the glider and Paula is 2011feet. To the nearest foot, what is the height of the glider h from the ground? Show your work..
What is 1913 feet?
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