Pythagorean Theorem
What is the longest side of a right triangle called?
hypotenuse
What ratio do you use when you are given the opposite and hypotenuse?
sine
What type of trig functions do you use to find missing angles?
Inverse sine/cosine/tangent
What is the height of a flagpole that makes a 15.2m long shadow and has a a 38 degree angle of elevation from the ground?
11.9m
Find the angles if the hypotenuse is 5 cm and the opposite side is 3.5 cm
44.43 degrees
What is the pythagorean theorem and what does each part represent?
a2+b2=c2, where a and b are the legs and c is the hypotenuse.
What ratio do you use when you are given the two legs of a right triangle?
tangent
What is the only ratio that does not use the hypotenuse?
tangent
Find the height of my kite when I let out 30m of string and the angle it makes with me and the ground is 72 degrees.
28.5m
Find the angle is the opposite side is 0.32 cm and the adjacent side is 0.04 cm
82.87 degrees
What is the hypotenuse in a triangle with side lengths of 12 and 16.
20
Find the angle in a triangle with an adjacent side length of 15.2cm and an opposite side length of 10cm.
33.34 degrees
Find the size of angle C in a triangle that has an adjacent side of 4m and an opposite side of 6m.
56.31 degrees
Find my height if my shadow is 2.38m and the angle of elevation from the ground is 40 degrees. To the nearest whole number.
2m
A ladder reaches 3.5 m up a wall and sits 250 cm from the base of the wall. Find the angle the ladder makes with the horizontal, correct to two decimal places.
54.46 degrees
Find the side of a triangle with a hypotenuse of 24.3 and other side length of 8.
22.9
Find the length of the hypotenuse in a triangle with a reference angle of 30 degrees and an opposite side of 12cm. To the nearest whole number.
24cm
Find the angle in a triangle when the hypotenuse is 20cm and and opposite side is 11cm
33.37 degrees
Standing on a cliff I spot a bird flying below. The bird is 8.27 m below me and the angle of depression is 53 degrees. This is how far away the bird is from me. Round to the nearest hundredth.
10.36m
A ladder is 5.7 m long and rests against a wall. If it sits 1.3m from the base of the wall. Find the angle the ladder makes with the wall, correct to two decimal places.
13.18 degrees
Find the hypotenuse of a right triangle with sides of 9.4cm and 6.7cm
11.5cm
Find the adjacent side in a triangle given the reference angle is 43 degrees and the hypotenuse is 23m.
What is 16.82m
What is the diameter of the Sun? Closest answer wins (in Km)
1.3927 million km
What do you call the king of maths?
A Ruler.
A ramp has a vertical length of 6 meters and a horizontal length of 7 meters. What is the angle of bottom left corner of this triangle. (ramp ascends from left to right).
40.6 degrees