Do the following sides form a Pythagorean triple? √3, √4 and √5?
No
100
If 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
In a 30-60-90 triangle, the short leg is 1. How long is the long leg AND the hypotenuse? Your answer should be in simplified radical form.
Long leg is √3
Hypotenuse is 2
100
What acronym can you use to remember the three trigonometric ratios? Spelling counts.
SohCahToa
100
Can you have an angle bigger than 90 degrees in a right triangle?
No
200
What kind of triangle has side lengths 5, 6, and 10?
An obtuse triangle
200
What is the ratio of the sides of 45-45-90 Triangle?
1:1:√2
200
In a 30-60-90 triangle, the hypotenuse is 4. What is the length of the short leg? Your answer should be in simplified radical form.
2
200
In a right triangle, the hypotenuse is 10. How long is the side across from the 32 degree angle? Round to the nearest tenth.
5.3
200
When do you use the inverse trigonometric functions?
When trying to find an angle.
300
If a lamppost 12 feet tall creates a shadow 5 feet long what is the distance between the top of the lamppost and the part of the shadow farthest away from it?
13 feet
300
In a 45-45-90 triangle, one of the legs is √3. How long is the hypotenuse? Your answer should be in simplified radical form.
√6
300
What is the ratio of the sides of a 30-60-90 triangle?
1:2:√3
300
Which trigonometric ratio should you use if you know the opposite side and are trying to find the length of the adjacent side?
Tangent
300
What kind of angles go from the horizontal line down?
Angles of Depression
400
A right triangle has a leg length 6 and a hypotenuse length 10. What is the length of the other leg?
8
400
In a 45-45-90 triangle, one of the legs is √51. How long is the other leg? Your answer should be in simplified radical form.
√51
400
In a 30-60-90 triangle the long leg is √6. What is the length of the short leg?
√2
400
How do you pronounce this trigonometric function: sin?
Sine
400
In a right triangle, the hypotenuse is 10 and the side opposite of "the angle" is 5. What is the measure of "the angle"? Round to the nearest degree.
30 degrees
500
In a right triangle, the hypotenuse is 9 and one of the legs is 6. How long is the other leg? Your answer should be in simplified radical form.
3√5
500
If a right triangle has side lengths of 4,4 and 4√2 what type of right triangle is it?
45-45-90 Triangle
OR
Isoceles
500
If the long leg of a 30-60-90 triangle is 6 what is the length of the hypotenuse AND the short leg?
Short leg is 2√3
Hypotenuse is 4√3
500
DAILY DOUBLE:
Without using a calculator: In a right triangle with hypotenuse length 4, what is the cos (30)?
√3/2
500
While flying a kite, Linda lets out 45 feet of string and anchors it to the ground. She determines that the angle of elevation of the kite is 58 degrees. What is the height of the kite from the ground? Round to the nearest tenth.