Trigonometric Functions
Pythagorean Theorem & Special Triangles
Law of Sines/Law of Cosines
Real World Trig
VOCAB
100
What is the sine ratio for angle B?
4/5
100
What is the length of the hypotenuse?
5sqrt(2)
100
Should the Law of Sines or the Law of Cosines be used to solve for the missing side length?
Law of Sines
100
In your own words, what is an angle of elevation?
The angle formed by a horizontal line and the line of sight to an object above the horizontal line.
100
A __________ is a set of three nonzero whole numbers that satisfy the equation
a^2+b^2=c^2
Pythagorean Triple
200
Find the sin ratio for angle a. Write your answer in simplest radical form 
sin a=
(3sqrt10)/10
200
What is the length of the short leg of the triangle?
Short Leg= 5
200
Write an equation that could be used to solve for the missing side a
a=
sqrt(b^2+c^2-2bc cosA
200
A rope is attached to the top of a building and is also attached to a stake in the ground 40 feet from the foot of the building and makes a 29 degree angle with the building. Find to the nearest foot, the length of the rope.
State which Trigonometric Function that would be used to solve this problem.
Sine
200
The ____________ relate the side lengths of a right triangle to its acute angles.
Trigonometric Ratios or Functions
300
Solve for the missing side length. Round to the nearest whole number.
7
300
What is the length of the legs in the triangle?
Length of legs=2
300
What is the measure of angle C? Round to the nearest whole degree.
54 degrees
300
If the angle of elevation to the top of a tree is 20 degrees, how far are you away from the tree, if the tree's height is 31 feet? Round to the nearest tenth of a foot.
85.2 feet
300
A _____________ is the angle formed by a horizontal line and the line of sight to an object below the horizontal line.
Angle of Depression
400
What is the measure of the missing angle? Round to the nearest whole degree. 
22 degrees
400
Find the length of x in simplest radical form. 
X=
3sqrt2
400
What is the length of side AB? Round to the nearest whole number.
21
400
A ladder is leaning against a vertical wall makes an angle of 32° with the ground. The foot of the ladder is 6 m from the wall.Find the length of ladder to the nearest tenth of a meter.
7.1 m
400
The ratio of the length of the leg opposite an acute angle in a right triangle to the length of the hypotenuse is the ________ of the angle.
Sine
500
Solve for the perimeter of the following triangle. Solve to the nearest tenth. 
14.5
500
What is the length of side x?
x=
7sqrt3
500
Fire towers A and B are located 10 miles apart. Rangers at fire tower A spot a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile?
9.4 miles
500
From the top of 150 foot light house, the angle of depression of a boat out at sea is 32 degrees. Find to the nearest whole foot, the distance from the boat to the foot of the lighthouse.
240 feet
500
What must be known in a triangle to use the Law of Sines?
The measure of an angle and the opposite side.