Alice leaves her house and walks to school. She walks 45 meters south and 336 meters east. How far is Alice from her house?
339 meters
100
At the local baseball diamond, the distance from home base to the second base is 100 feet. Determine the distance from home base to first base.
50√2 feet
100
When a book is open, the crease bisects the book into two equal parts; a left side and a right side. Even page numbers are on which side of a book?
The left side
100
Draw a 30-60-90 triangle. Label the side opposite of 30 degrees as 3 units. What is the length of the hypotenuse?
6 units
100
Match the sides to the correct trigonometry function. Each word can be used more than once.
OPPOSITE ADJACENT HYPOTENUSE
cos = ____ / ____
tan = ____ /_____
sin = ____ / _____
cos = adjacent / hypotenuse
tan = opposite / adjacent
sin = opposite / hypotenuse
200
The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room?
300√2 feet or 424.26 feet
200
If one leg of a 45-45-90 triangle has a length of 28, what is the length of the other leg?
28
200
How many sides are there on a standard pencil?
6 sides
200
Draw a 30-60-90 triangle. Label the side opposite of 30 degrees as √2 units. What is the length of the hypotenuse?
2√2 units
200
A triangle has a hypotenuse side with a length of 143. In regards to angle F, the triangle has an adjacent side of 132 and an opposite side of 55. Find the measurement of angle F. Round your answer to the nearest hundredth. *HINT- use inverse*
22.62 degrees
300
Determine if the triangle is a right triangle, obtuse triangle, or acute triangle.
Side lengths:
0.3, 0.4, 0.6
Obtuse triangle.
(Because a^2 + b^2 < c^2)
300
If a 45-45-90 triangle has a hypotenuse of 23, what is the length of one of the remaining legs?
(23√2) / 2
300
How many curves are there in the standard paperclip?
3
300
Draw a 30-60-90 triangle. Label the side opposite of 30 degrees as 7 units. What is the length of the other leg of the triangle (NOT the hypotenuse)?
7√3
300
A right triangle has a hypotenuse of length 59 and one leg of length 23. Determine the angle measure of the other two acute angles in the triangle. Round to the nearest hundredth.
67.06 degrees and 22.94 degrees
400
Determine if the triple below is a right triangle:
290, 696, 750
If yes, why?
If not, what should the value of the hypotenuse be?
No; the hypotenuse should be 754.
400
If one leg of a 45-45-90 triangle is 28, what is the length of the hypotenuse?
28√2 or approximately 39.6
400
Which denomination of American currency has the smallest radius?
Dimes
400
Draw a 30-60-90 triangle. Label the side opposite of 60 degrees as 6√3 units. What is the length of the hypotenuse?
12 units
400
A ladder is leaning against a wall and makes an 82 degree angle of elevation with the ground. If the base of the ladder is 4 feet from the wall, determine how high up the wall does the ladder reach?
28.46 feet
500
If the hypotenuse of a right triangle is 125 units long and the short leg adjacent to the right angle is 32 units long, then determine the length of the long leg of the triangle.
About 120.835 units
500
Imagine a right triangle that has two remaining angles of the same value. If the hypotenuse has a length of a√2, what is the length of one of the sides?
a
500
What is the only fruit to have seeds visible when observing the surface area of the fruit?
Strawberry
500
Draw a 30-60-90 triangle. Label the hypotenuse as 4√3 units. What is the length of the side opposite of the 30 degree angle?
2√3 units
500
A ladder is leaning against a wall and makes an 82 degree angle of elevation with the ground. If the base of the ladder is 4 feet from the wall, then how long is the ladder? Round to the nearest tenth.