Trig Ratios
Finding Angles
Finding Sides
Applications with Trigonometry (Word Problems)
Special Right Triangles
100
Find the the trig ratio of sin Z. SIMPLIFY your answer (if necessary).
sinZ=3/5
100
What inverse trig function would you use to solve for the missing angle? How do you know? DO NOT SOLVE.
Since we have "O" and "A" we would use
tan^-1
100
Name the side that is missing. BE SPECIFIC.
Side BC
100
X represents what type of angle?
An angle of depression.
100
What are the 2 different types of Special Right Triangles?
45-45-90 right triangle and 30-60-90 right triangle.
200
Find the the trig ratio of cos Z. SIMPLIFY your answer (if necessary).
cosZ=4/5
200
Set up an equation to find the missing angle. DO NOT SOLVE.
theta=cos^-1(12/13)
200
Set up an equation to find the missing side. DO NOT SOLVE.
cos(37)=11/(BA)
cos(37)=11/x
200
Draw an accurate representation of the scenario described: A 40 foot ladder leans against a wall and reaches a height of 36 feet above the ground. What is the angle formed between the bottom of the ladder and the ground?
Check with Ms. Cardona
200
Find the values of each missing side.
BT =8
AT = 8sqrt3
300
Find the the trig ratio of tan X. SIMPLIFY your answer (if necessary).
tanA=24/7
300
Solve for the missing angle. Round to the nearest degree.
theta=50°
300
Solve for x. Round your answer to the nearest whole number.
x=6
300
A man that is 6ft tall casts a shadow from the sun that is 5ft long. Find the angle of elevation from the ground to the top of man's head. Round your answer to the nearest degree.
tan^-1(6/5)=50°
300
Find the values of the missing sides.
a=9sqrt3
b=18sqrt3
400
Find: sinA and cosA. Simplify (if necessary).
sinA=4/5
cosA=3/5
400
Solve for the missing angle. Round your answer to the nearest hundredth.
theta=66.42°
400
Solve for CA. Round your answer to the nearest hundredth.
CA = 7.29
400
A 24 foot ladder leans against a building where the bottom of the ladder to the ground creates an angle of elevation that measures 71 degrees. How high up the building does the ladder reach? Round your answer to the nearest foot.
23ft
400
Find the value of x.
x=14
500
Find sinA, cosA, and tanB.
sinA=3/5
cosA=4/5
tanB=4/3
500
Find the value of angle A and angle B. Round your answers to the nearest degree.
angleA=37°
angleB=53°
500
Solve for the missing sides: b and c. Round to the nearest hundredth.
b= 3.73
c= 8.83
500
The diagram below shows a student using a clinometer to measure the height of a flagpole. When the student stands 38 feet away from its base and the clinometer is exactly 5 feet above the ground, the clinometer shows a 35 degree angle of elevation to the top of the pole. What is the approximate height (h) of the flagpole?
31.61 feet or 32 feet
500
Find the value of x.
x=4sqrt6