Pythagorean Theorem
What is the Pythagorean Theorem Formula?
What is a2 +b2 = c2?
For an acute angle, the equation sin(x)=cos(72). What is x?
x=18o
What trigonometric function should you use if you are given the opposite and adjacent side and trying to find the angle?
Arctangent
A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?
What is θ = 68.2°?
what are the degrees of a an Isosceles Right Triangle?
What is 45 - 45 - 90?
Find the missing side
a = 15 ; b =____________ ; c = 17
what is 8?
What is the area of an equilateral triangle with a side length of 4? Leave answer in simplest radical form.
A=4sqrt(3)
What is the degree of <B if <A is 37° on a right triangle? (Assuming <B is NOT the right angle)
What is 53°?
Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head?
What is X = 61?
What special right triangle comes from an equilateral being split in half?
What is 30 - 60 -90 Special Right Triangle?
Find a third number so that the three numbers form a right triangle (must be a whole number):
13 , 85,
What is 84?
What is the trigonometric ratio for cosine?
cos(x)=adj/hyp
What is the first button you press on the Scientific Calculator in class when using an inverse trigonometry functions?
What is 2nd?
From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures 28°. Find the distance from the plane to the building.
What is x = 2256.9 m?
What is the measurement of the Hypotenuse on a Isosceles right triangle with legs of 7√2
What is 14?
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
What is 4?
What trigonometric function should you use if you are given the angle and hypotenuse and trying to find the opposite side?
Sine
What is the measurement (degree) of the small angle on a right triangle if the two legs are 10 and 13
What is 37.6?
In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest tenth of a cm, how long is that leg?
what is 36.5?
What is the Long leg on a 30 - 60 - 90 Special right triangle with an Hypotenuse of 30
What is 15√3?
A 17-foot wire connects the top of a 28-foot pole to the top of a 20- foot pole. What is the shortest length of wire that you could use to attach the top of the short pole to the bottom of the tall pole?
What is 25?
For an acute angle, the equation sin(35)=cos(x). What is x?
x=55o
The length of the diagonal of a square with side length 1.
What is the square root of 2?
Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. Then, Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
What is 1944.2 m?
(First ship: 2399.2 m; Second ship: 4343.4 m)
What is the Hypotenuse on a 30 - 60 - 90 special right triangle if the long leg is 10
What is (20√3)/3 or 11.55?