Wildcard
When using Pythagoras Theorem, the Hypotenuse is labeled with what letter?
c
The two sides of a right triangle are 3 and 4. What is the hypotenuse?
5
One of the angles in a right triangle is 35 degrees. What is the measures of the other two angles?
90 and 55 degrees
opposite/hypotenuse
A= 3; O = 4; H = 5. What is the Sine ratio?
4/5
When using Trigonometry, the side length directly across from the angle is called?
Opposite
Would the following measures, 9, 12, 15, create a right triangle?
Yes
To solve a right triangle means to find the measures of all its ________ and ___________.
angles, sides
Right triangle ABC: side AB=18 side BC=12. Find angle A.
33.7
A = 6; O = 4; H = square root of 52. What is the tangent ratio?
2/3
Find: tan(60) to 2 decimal places
1.73
The hypotenuse of a triangle is 5 and one of the sides is 2. What is the length of the other side to one decimal place?
4.6
What is the longest side of a right triangle called?
Hypotenuse
Right triangle KLM: Angle M=40, Hypotenuse=8, Angle L=90. Find KL.
5.1
You are standing on a footbridge in a park that is 12 metres high above a pond. You look down and see a duck in the water 7 metres away from the footbridge. What is the angle of depression to one decimal place.
59.7 degrees
When using Pythagoras Theorem, what is the formula to calculate side c?
c=√a^2+b^2
The length of two sides of a right triangle are 8. What is the measure of the hypotenuse to one decimal place?
11.3
Using Trigonometry, calculate the Hypotenuse side when the Opposite = 8 and the angle = 56?
H = 9.65
Right triangle RST: Angle R=50, Angle S=90, ST=15. Find the missing angle and the hypotenuse RT.
Angle S=40 and RT=17.9
A soccer ball is placed 10 metres away from the goal, which is 8 metres high. You kick the ball and it hits the crossbar along the top of the goal. What is the angle of elevation of your kick to one decimal place?
38.7 degrees
When using Trigonometry, what trigonometric ratio is used to calculate the hypotenuse side when given the adjacent?
H=A/cos(x)
The hypotenuse of a triangle measures 7.1 and one side measures 4. What is the length of the other side to one decimal place?
5.9
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point to 2 decimal places?
27.66 km
Right Triangle GHJ: Hypotenuse GJ=16, and side GH=14. Find HJ, angle G and angle J.
Angle G=29, Angle J=61, HJ=7.7
When do you use the trigonometric ratio to find a side length of a right triangle and when do you use the Pythagorean Theorem? Explain.
Trig Ratios - know the sides of side length and an acute angle, use these to find other side lengths and angle measures.
Pythagorean Theorem - when given two side lengths and find the third side length.