Pythagorean Theorem
Special Right Triangles
Identifying & SOH CAH TOA
Applications
Inverse Ratios
100
What can the Pythagorean Theorem be used to solve for?
A missing side length of a right triangle
100
What are the 2 kinds of special right triangles?
45-45-90 & 30-60-90
100
What is the formula for each part of SOH CAH TOA?
SOH = Sine, Opposite/Hypotenuse
CAH = Cosine. Adjacent/Hypotenuse
TOA = Tangent, Opposite/Adjacent
100
Angle of Elevation is always (inside/outside) the triangle.
Inside the triangle.
100
What must you type primarily into the calculator to calculate an inverse question?
2nd, then sin/cos/tan-1
200
The sum of the two smaller sides must be...
A. Smaller than the largest side
B. Greater than the largest side
C. Equal to the largest side
B. Greater than the largest side
200
What is the hypotenuse of each triangle?
45-45-90 = x√2
30-60-90 = 2x
200
The ratios of the side lengths will remain (equal/different) for (similar/different) triangles.
Equal, Similar
200
Angle of Depression is always (inside/outside) the triangle.
Outside the triangle.
200
If Cos𝜃 = A/H, then Cos-1A/H = ?
𝜃
300
Which of the following sets of numbers could represent the three sides of a right triangle?
{2,4,9}
{39,43,66}
{7,24,25}
{33,39,51}
4. {7,24,25}
300
Of a 45-45-90 triangle, one of the smaller side lengths is 13. What are the values of the missing lengths?
Side length = 13
Hypotenuse = 13√2
300
Which side is the longest and opposite from the 90 degree angle?
Hypotenuse
300
The angle of elevation from Point A to the top of the cliff is 56 degrees. If Point A is 2,000 ft from the base of the cliff, how high is the cliff?
674.5 ft
tan56=x/2,000
300
According to this image, what inverse ratio would you use to calculate the angle?
Inverse Sin
400
Side length A = 23
Hypotenuse = 24.7
Side length B = ?
What is the value of the missing side length? Round however you want.
B = 9
400
Of a 30-60-90 triangle, the hypotenuse is 13. What are the two other side lengths?
6.5√3
6.5
400
What is Cos B?
0.4
400
The angle of elevation to a nearby tree from a point on the ground is measured to be 52∘. How tall is the tree if the point on the ground is 82 feet from the bottom of the tree? Round your answer to the nearest hundredth of a foot if necessary.
104.96 ft tall
400
Calculate the missing angle.
60 degrees
Use Cos inverse!
500
If you place a 36-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
25.9 approx.
500
Of a special right triangle, the side lengths are 34, 17√3, and 17. What type of special right triangle is this?
30-60-90
500
1) What is Sin of B and A?
2) What is Tan of B and A?
3) What is Cos of B and A?
1) 0.6, 0.4
2) 1.5, 0.67
3) 0.4, 0.6
500
The angle of depression from the building to John Pork is 68 degrees while the building is 280ft tall. How far away is John Pork from the building horizontally?(Nearest tenth)
69.3ft
500
Solve for the missing angle. Round to the nearest hundredths place.
35.54
Use Tan inverse!