Find the value of x for each triangle.
1. x =
2. x =
Tell whether the triangle is a right triangle.
Find the values of x and y. Write your answer in simplest form.
14. x =
16. x =
Find x.
Identify the similar right triangles. Then find the value of x.
19. x =
20. x =
Find the tangents of the acute angles in the right triangle.
You just need to find the RATIO.
Write each answer as a fraction or as a decimal.
Angle J =
Angle L =
Find the value of x.
30. x =
31. x =
The angle of elevation from the bottom of a fence to the top of a tree that is 4 feet from the fence is 75°. Round answers to the nearest tenth.
a. How tall is the tree?
b. The angle of elevation from the bottom of the fence to the first limb on the the tree is 62°. How high is the limb?
Find sin X, sin Z, cos X, and cos Z. Write each answer as a fraction.
sin X =
sin Z =
cos X =
cos Z =
Find the value of s and t using sine and cosine. Round answers to nearest hundredth.
r =
s =
Solve the right triangle. Round to nearest tenth.
Angle X =
Angle Z =
XY =
A doctor is using a treadmill to assess the strength of a patient's heart. He sets the 48 inch long treadmill at an incline of 10 degrees, how high is the end of the treadmill raised?
A person in a hot air balloon is looking down with an angle of depression of 36 degrees at their car 75 feet away (straight line distance).
How high is the balloon?
A student wants to know how tall the flagpole at her school is, her eye level is 5.5 feet above the ground and she stands 36 feet from the base of flagpole.
If the angle of elevation is 25 degrees, what is the height of the flagpole?
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