Special Right Triangles
Law of Sines and Law of Cosines
Word Problems
Right Triangle Trigonometry
All About Triangles
100
Find y.
What is y = 1?
100
Tell whether you would use the Law of Sines, Law of Cosines, or the Pythagorean Theorem to solve the triangle with measures listed below. Explain your reasoning.
m∠A = 72°, m∠B = 44°, b = 14
What is the Law of Sines? (Explanation needed)
100
Your friend says that the Law of Sines can be used to fi nd JK. Your cousin says that the Law of Cosines can be used to fi nd JK. Who is correct? Explain your reasoning.
Who is the cousin? (Also need a reason)
100
Find the missing side. Round to the nearest tenth.
What is 9.9?
100
Solve for x.
What is -2?
200
Find x.
What is x=
sqrt(3)?
200
Tell whether you would use the Law of Sines, Law of Cosines, or the Pythagorean Theorem to solve the triangle with measures listed below. Explain your reasoning.
m∠C = 65°, a = 12, b = 21
What is the Law of Cosines? (Explanation needed)
200
You and your friend are standing on the baseline of a basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the distance between you and your friend?
What is 10.7 feet?
200
Find the measure of the indicated angle to the nearest degree.
What is 33o?
200
State if the three numbers can be the measures of the sides of a triangle.
16, 7, 9
What is no?
300
Find a.
What is
(7sqrt(6))/6?
300
Find BC. Round your answer to the nearest tenth.
What is 33.1 yd?
300
The Leaning Tower of Pisa in Italy has a height of 183 feet and is 4° off vertical. Find the horizontal distance d that the top of the tower is off vertical.
What is 12.8 feet?
300
The diagram show a slide. Find the height to the top of the slide. Round your answer to the nearest tenth.
What is 1.9 m?
300
Solve for x.
What is 11?
400
Find x.
What is
3 sqrt(3)?
400
Round your answer to the nearest tenth.
What is 35.0o?
400
A zip line is constructed across a valley, as shown in the diagram. What is the width w of the valley?
What is 92.5 feet?
400
The diagram show a slide. Find the length of the slide. Round your answer to the nearest tenth.
What is 3.0 m?
400
Solve for x. Leave your answers as radicals in simplest form.
What is 30?
500
Find x.
What is
(14sqrt(6))/3?
500
Solve the triangle. Round each answer to the nearest tenth. To get the problem right you must get all 3 responses correct.
What is 61.7o, 80.8o, and 37.5o?
(A, B, and C respectively)
500
You are on the observation deck of the Empire State Building looking at the Chrysler Building. When you turn 145° clockwise, you see the Statue of Liberty. You know that the Chrysler Building and the Empire State Building are about 0.6 mile apart and that the Chrysler Building and the Statue of Liberty are about 5.6 miles apart. Estimate the distance between the Empire State Building and the Statue of Liberty.
What is 5.1 miles?
500
Find the length across the suspension bridge. Round your answer to the nearest foot.
What is 499 ft?
500
Solve for x. Leave your answers as radicals in simplest form.
What is
(7 sqrt(2)) /4?