A sonar operator on a ship detects a submarine at a distance of 500 meters and an angle of depression of 40˚. How deep is the submarine to the nearest meter?
Hint: SOH-CAH-TOA
Question 12
12.
The sun casts a shadow of a man on the ground that is 5.45 feet long. The angle of elevation is 50˚.
What is the height of the man? Round your answers to the nearest hundredth.
Hint: SOH-CAH-TOA
Question 13
13.
You lean a 20 foot ladder against a wall. The base of the ladder is 4 feet from the wall. Safety
guidelines require the angle of elevation of the ladder from the ground to be between 70⁰ and 75⁰.
Does the angle 𝜃 meet the safety guideline? Explain your answer.
Hint: SOH-CAH-TOA
Question 14
14.
Given the diagonal of the square is 10 cm. What is the exact length of each side a?
Note: Label your the sides with L and H before choosing a formula.
Question 15
15.
What is the perimeter of the square to the nearest cm?
Note: Use your answer from problem 14 to help you.
Question 16
16.
What is the area of the square to the nearest square inch?
Note: Use your answer from problem 14 to help you.
Given side lengths of 6, 8, and 12 classify the triangle.
Note: a2 + b2 = c2
Obtuse Triangle
Isosceles Triangle
Right Triangle
Equilateral Triangle
Acute Triangle
Find the exact length of side BC.
Note: a2 + b2 = c2
20
12
16
Find the measure of angle A.Round to the nearest tenth.
Note: Use your calculator for sin-1, cos-1, or tan-1 .
44.4 deg
45. deg
53.1 deg
59.0 d
35.5 deg
Which trigonometric ratio would be used to solve for the value of side q?
Note: SOH-CAH-TOA
Sine Ratio
Pythagorean Theorem
Tangent Ratio
Special Right Triangle Proportion
Cosine Ratio
Find the measure of the unknown angle.
Note: The sum of the angles inside the triangle.
67 deg
45 deg
90 deg
23 deg
34 deg
What is the trigonometric ratio for sin D?
Note: SOH-CAH-TOA
Find the exact value of segment IR.
Note: Label the S, L, and H sides before you choose the formula.
14
8
7
4
None of the Above.
1. Find the exact value of segment TI.
Note: Label the S, L, and H sides before you choose the formula.
14
7
8
A right triangle has a base of 12 m and a height of 5m, find the length of the hypotenuse.
Note: a2 + b2 = c2
4 m
9 m
13 m
18 m
Cannot be determined with given information.
In the diagram, △ABC is similar to △DEF. The area of △ABC is 36 cm2, find the area of △DEF.
Note: Similar triangles have a scale factor. Their perimeters are proportional to the scale factor. Their areas are proportional to the square of the scale factor.