Right Triangle Trig
The hypotenuse of a right triangle is 25 and one of the legs is 7. What's the length of the other leg?
24
The quadrilateral MATH is inscribed in a circle. If angle M is 101 degrees, what is the measure of angle T?
79 degrees
True or false: If two triangles have two of the same angles, they must be similar.
True
What is the general formula for the area of a prism?
V = area of the base * height
True or false: In the unit circle, sine corresponds to the x-coordinate and cosine corresponds to the y-coordinate.
False
What is the cosine of 24 degrees?
0.9135
40 degrees
There are two similar triangles, DEB and ALI. DE and AL are corresponding sides. If the ratio of sides from DEB to ALI is 2:3 and DE is 6 units long, how long is AL?
9 units
If the volume of a prism is 21 cubic feet, what is the volume of the pyramid with the same base area and height?
7
In which quadrants is sine negative?
III and IV
The tangent of what angle is 2.39?
67.295 degrees
Complete the following comparison:
Central angle is to 360 degrees as [blank] is to circumference.
Arc length
True or false: If two trapezoids have all the same angle measures, they must be similar.
False
A cone has a base radius of 3 and a height of 20. What is the volume of the cone? Leave your answer in terms of pi.
60pi
What is the value of 6cos2(x)+6sin2(x)?
6
A 10 foot ladder is leaning against a wall, creating a 70 degree angle with the ground. How far away from the wall is the base of the ladder?
3.42 feet
The circumference of a circle is 20pi. Find the area of a sector of this circle whose central angle is 60.
52.36 units2
Triangles GUZ and SOM are similar, and the side GU corresponds to side SO. If GU is 6 and SO is 10, What is the ratio of their areas? Make sure your answer is as simplified as possible.
9:25
A chocolatier decides to make a chocolate sculpture in the shape of a pyramid. The pyramid has a square base with side lengths of 20 inches and a height of 18 inches. They decide to melt down chocolate bars for the sculpture, and each bar is roughly 3 cubic inches of chocolate. How many chocolate bars do they need?
800
Which other angle between 0 and 360 has the same tan value as 46 degrees?
226 degrees
The cosine of a mystery angle is .431. What is the sine of that same angle?
0.90235
Find the center and radius of the following circle:
x2+8x+y2-2y=19
Center: (-4, 1)
Radius: 6
Triangles SHY and FOX are similar. The area of SHY is 52, while the area of FOX is 13. If SH and FO are corresponding sides and SH is 15 units long, how long is FO?
7.5
Some construction workers are trying to fill up their truck with wooden beams. Each beam is 1 by 2 by 8 feet. The truck dimensions are 7 by 8 by 17. How many beams can fit into the truck?
59
Solve for all values of x between 0 and 360.
cos(x) = -0.743145
138 and 222