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Geometry Unit 3 EOC Review

Last updated over 5 years ago
25 questions

UNIT 3: RIGHT TRIANGLE TRIGONOMETRY

This unit investigates the properties of right triangles. The trigonometric ratios sine, cosine, and tangent along with the Pythagorean Theorem are used to solve right triangles in applied problems. The relationship between the sine and cosine of complementary angles is identified.

Here are some helpful videos to refresh your memory.
1

Match each trigonometric function with its ratio:

  • opposite/adjacent
  • opposite/hypotenuse
  • adjacent/hypotenuse
  • sine
  • cosine
  • tangent
1

Which equation is true?

1

Ricardo is standing 75 feet away from the base of a building. The angle of elevation from the ground where Ricardo is standing to the top of the building is 32°. What is x, the height of the building, to the nearest tenth of a foot?

1

An airplane is at an altitude of 5,900 feet. The airplane descends at an angle of 3°, called the angle of depression. About how far to the nearest foot will the airplane travel in the air until it reaches the ground? (Do not include units.)

1

In right triangle ABC, angle C is a right angle, AC = 6, and AB = 10. Find the perimeter of triangle ABC.

1

Triangle ABC is a right triangle. What is the measure of angle C in degrees to the nearest tenth? (Do not include units.)

1

If the lengths of the legs of a right triangle are 12 and 16, what is the length of the hypotenuse?

1

In right triangle ABC, angle A and angle B are complementary angles. The value of cos A is 5/13 . What is the value of sin B?

1

Triangle ABC is given below. What is the value of cos A?

1

The hypotenuse of a right triangle is 15 and one leg is 5. What is the length of the other leg?

1

In right triangle HJK, angle J is a right angle and tan H = 1. Which statement about triangle HJK must be true?

1

What is sin x?

1

A 12-foot ladder is leaning against a building at a 75° angle to the ground. Which equation can be used to find how high the ladder reaches up the side of the building?

1

A hot-air balloon is 1,200 feet above the ground. The angle of depression from the basket of the hot-air balloon to the base of a monument is 54°. Which equation can be used to find the distance, d, in feet, from the basket of the hot air balloon to the base of the monument?

1

Triangle GHJ is a right triangle. Angle G has a measure of g°, angle H has a measure of h°, and angle J is a right angle. Which statement is true?

1

This diagram shows two ladders leaning against a building. Each ladder is leaning at an angle of 70 degrees.
• The length of the short ladder is 8 feet.
• The base of the long ladder is 5 feet farther from the base of the building than the base of the short ladder is.
What is the length, to the nearest foot, of the long ladder?

1

In the diagram below, the length of each side of the equilateral triangle is 10. What is the altitude, h?

1

Which angle of the triangle has cosine equal to 0.80?

1

In triangle ABC, AB = 18.3 and BC = 11.2. What is the measure of angle A to the nearest tenth of a degree?

1

An 8 foot rope is tied from the top of a pole to a stake in the ground. If the rope forms a 57 degree angle with the ground, what is the height of the pole to the nearest tenth of a foot?

1

Triangle ABC has legs of 8 and 15 and a hypotenuse of 17. What is the tangent of angle B?

1

A tree casts a 25-foot shadow on a sunny day. If the angle of elevation from the tip of the shadow to the top of the tree is 32 degrees, what is the height of the tree?

1

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25°, how long is the ramp?

1

Which trig expression below is equal to cos 37?

1

A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base
of the building, what angle is formed between the ladder and the ground? Round to the nearest degree. (Do not include units.)