GEOM                CH 8  PRACTICE for test

Short Answer

Find the length of the missing side. Leave your answer in simplest radical form.

	1.	

	2.	

	3.	A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.

	4.	A triangle has side lengths of 10 cm, 24 cm, and 25 cm. Classify it as acute, obtuse, or right.

	5.	In triangle ABC,  is a right angle and  45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

	6.	Find the length of the hypotenuse.

	7.	Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.

	8.	Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

	9.	
Not drawn to scale

	10.	

Find the value of x. Round to the nearest tenth.

	11.	

	12.	

	13.	

	14.	

	15.	Write the tangent ratios for  and .

	16.	Find the missing value to the nearest tenth.

Find the value of x. Round your answer to the nearest tenth.

	17.	

	18.	

Find the value of x to the nearest degree.

	19.	

	20.	

Find the value of x. Round to the nearest degree.

	21.	

	22.	Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

	23.	Write the ratios for sin A and cos A.

	24.	A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the totem pole casts a 249-foot-long shadow. Find the measure of  to the nearest degree.

	25.	The area of a square garden is 128 m2. How long is the diagonal?

	26.	John drives 200 meters up a hill that makes an angle of 8 with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

Find the value of x. Round the length to the nearest tenth.

	27.	

	28.	An airplane over the Atlantic sights a ship at an angle of depression of 20. At this time, the horizontal distance from the airplane to the atoll is 2039 meters. What is the height of the plane to the nearest meter?

	29.	Find the angle of elevation of the sun from the ground to the top of a flag pole when the flag pole that is 64 yards tall casts a shadow 88 yards long. Round to the nearest degree.

	30.	The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.

GEOM                CH 8  PRACTICE for test
Answer Section

SHORT ANSWER

	1.	 m

	2.	 cm

	3.	no; 

	4.	acute

	5.	12 ft

	6.	6

	7.	

	8.	x = 5.7, y = 4

	9.	x = 36, y = 

	10.	x = , y = 40

	11.	15.7

	12.	7.6

	13.	51.2

	14.	10.5

	15.	

	16.	89.3

	17.	5.2

	18.	6.2 cm

	19.	69

	20.	23

	21.	50

	22.	

	23.	

	24.	22

	25.	16 m

	26.	198.1 m

	27.	622.3 m

	28.	742 m

	29.	36

	30.	17.6 cm2