Trigonometry - Right Triangles

1

You need to build a diagonal support for the bleachers at the local sportsfield. The support needs to reach from the ground to the top of the bleacher. How the support should look is highlighted in blue below. The bleacher wall is 10 feet high and perpendicular to the ground. The owner would like the support to only stick out 3 feet from the bleacher at the bottom. What is the length of the support you need to build?

Screen shot 2020 08 27 at 1.35.40 pm

2

While waiting for your sister to finish her bungee jump, you decide to figure out how tall the platform she is jumping off is. You are standing feet from the base of the platform, and the angle of elevation from your position to the top of the platform is degrees. How many feet tall is the platform?

3

While waiting for your sister to finish her bungee jump, you decide to figure out how tall the platform she is jumping off is. You are standing feet from the base of the platform, and the angle of elevation from your position to the top of the platform is degrees. How many feet tall is the platform?

4

In the figure below, $\overline{BD}$ is a diagonal of quadrilateral . $\overline{BD}$ has a length of . $\angle CBD$ is congruent to $\angle BDC$ .

Screen shot 2020 08 27 at 4.39.20 pm

Which of the following is a true statement?

5

You need to build a diagonal support for the bleachers at the local sportsfield. The support needs to reach from the ground to the top of the bleacher. How the support should look is highlighted in blue below. The bleacher wall is 10 feet high and perpendicular to the ground. The owner would like the support to only stick out 3 feet from the bleacher at the bottom. What is the length of the support you need to build?

Screen shot 2020 08 27 at 1.35.40 pm

6

In the figure below, $\overline{BD}$ is a diagonal of quadrilateral . $\overline{BD}$ has a length of . $\angle CBD$ is congruent to $\angle BDC$ .

Screen shot 2020 08 27 at 4.39.20 pm

Which of the following is a true statement?

7

When the angle of elevation of the sun is degrees, a flagpole casts a shadow that is feet long. In feet, how tall is the flagpole?

8

An airplane takes off from point and reaches its maximum altitude of 31,000 ft. The angle from the point of takeoff to the plane at maximum altitude is 55 degrees. What is the distance from point to where the plane reaches maximum altitude?

9

When the angle of elevation of the sun is degrees, a flagpole casts a shadow that is feet long. In feet, how tall is the flagpole?

10

Which of the following is true about the right triangle below?

Screen shot 2020 08 27 at 10.57.48 am

Right Triangles

Practice Questions