Trig Ratios
Solving Right Triangles
Vocab Galore
100
This trig function is defined as: length of the side opposite/length of the side adjacent
What is the tangent?
100
These are the 3 "tools" (equations) that can be used to solve a right triangle.
What is: 1) The sum of the interior angles = 180 degrees 2) The Pythagorean Theorem 3) The trig ratios - sin, cos, tan
100

The inverse sine, inverse cosine, and inverse tangent are specifically used to find missing __________ measures in a right triangle.

angle

200
This trig ratio is defined as the: Length of the side opposite/length of the hypotenuse
What is sine?
200

In a 30-60-90 triangle, the side opposite the 30 angle and the side opposite the 60° angle are in

a(n) ______ : ratio.

1:radical 3  

200

In all equilateral triangles, the angles each have a measure of _______ degrees.

60

300
This trig ratio is defined as the: Length of the side adjacent/length of the hypotenuse
What is cosine?
300
The measure of this acute angle of a right triangle (in degrees) has a side opposite of 12 inches and a hypotenuse of 20.
What is 36.9 degrees?
300

True or false: When using the Sine, Cosine and Tangent ratios, we NEVER use the 90°angle as

the reference angle.

TRUE

400

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.

33 feet
400
This is the measure of the hypotenuse of a right triangle when a side is 8 m and the angle adjacent to it is 49 degrees.
What is 12.2 m?
400

True or False:

The ratios for the sin of 35° and cos of 55° are exactly the same.

True

500

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find, to the nearest foot, the height of the balloon, assuming the wind to be constant.

79 feet

500

In a isoceles right triangle, the hypotenuse is 6. What would the length of the sides be?

3 radical 2

500

What ratio represents the leg:leg:hypotenuse relationship in ALL isosceles right triangles? 

1:1:2

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