Chapter 4 Pre-Test Review

Transcription

1 --"'fl Name Per Date _ Chapter 4 Pre-Test Review 1. Find the value of the variable in the triangles below. Give an eact answer and a decimal approimation Given the area of the triangles below, find the length of the hypotenuse. Area: 30 cm 2 Area: 60in 2 Scm lsin 3. Find the area of the squares below.

2 Name Per Date _ 4. Find the area of an equilateral triangle with a side length of 10 inches. 5. Determine whether the following side lengths could be those of triangle. If they can, determine whether the triangle is right, obtuse, or acute. 6,5,9 5,13,12 7,8,15 8,9,10 6. Find the distance between the points (4, 5) and (-5, -2) on a coordinate grid. Give an eact answer. 7. A plane leaves the airport and flies SO miles east, then flies 200 miles south. Approimately how many miles is the plane from the airport? Round your answer to the nearest mile. s. A 50 foot rope is stretched from the tip of a tree to the ground. The rope is tied to the ground 30 feet from the tree. How tall is the tree? 9. Find the value of each trig ratio. taa C sin X cos zl A 17 C.. ~ ::; 8.~5 B ~ ~ ~/,~ /

3 Name Per Date _ 11. Find the measure of the indicated angle to the nearest degree Find the missing side. Round to the nearest tenth. ~ ' 13. John wants to measure the height of a tree. He walks eactly 100 feet from the base of the tree and looks up. The anglefrom the ground to the top of the tree is 330. How tall is the tree? 14. A jet airplane begins a steady climb of 15 and flies for two miles. What is the change in altitude in feet? 15. A ladder leaning against the side of a house forms an angle of 65 with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot. 16. Jamal says that the cosine ratio of a right triangle is 1.2. Without seeing the triangle, eplain how you know that Jamal made a mistake in setting up the cosine ratio.

4 Name Per Date _ 17. Find the missing side lengths. Leave your answer in simplest radical form.. r ~ 5-5' \i "' ~ - v 12 60' "%7. u -. 45'. ~. v 'j(/ 18. The length of each altitude of an equilateral triangle is 6. What is the length of each side ofthe triangle? 19. The length of each altitude of an equilateral triangle is 4.5, find the perimeter of the triangle. 20. The perimeter of an equilateral triangle is 15\1'3, find the length of each altitude.

5 Name OJoSWfX K-og Per Date _ Chapter 4 Pre-Test Review 1. Find the value of the variable in the triangles below. Give an eact answer and a decimal approimation p f/5vo p~ \t5.b 12 X== (pj2 '/. ~ "66 c; 2. Given the area of the triangles below, find the length of the hypotenuse. (BjP()+~~ ~~ \~c.yy\ r [ ~'f?oten\i.l'.,t i,,> n; ()clrle <;] Area: 30 cm 2 Area: 60 in 2 V= b::;./~ Scm c (;l?-;: t,:;). ll.dct ::: C 2 E3 '=~l 3. Find the area of the squares below. 1Sin C; '3':<+-IS~=C'l. co ~q.:=. C~ Ul ;;~l

6 _m, Name Per Date _ 4. Find the area of an equilateral triangle with a side length of 10 inches. 5. Determine whether the following side lengths could be those of triangle. If they can, determine whether the triangle is right, obtuse, or acute. 6, 5,9 5,13,12 7,8,15 8,9,10 01G\ -ty\ Qn~\(..., 6. Find the distance between the points (4, 5) and (-5, -2) on a coordinate grid. Give an ~eact answer. (l-l < ') C1 Z- t 1 Z-= ~7- \ S()z: X.- r.-:-=c-::- X ~\j I?D ( -'7/~) ~ I +- tic( ~ X '2 -J\~ D z: )( '1 7. A plane leaves the airport and flies 80 miles east, then flies 200 miles south. Approimately. how many miles is the plane from the airport? Round your answer to the nearest mile. "~zoo ~t?-+'zct?--;)(<- GIS IY\~ 8. A 50 foot rope is stretched from the tip of a tree to the ground. The rope is tied to the ground 30 feet from the tree. How tall is the tree? 9. Find the value of each trig ratio. 3b tan C sin X cv cos Z... C ~. B ~.- \l I~/ 50 ~ ~= ~ ~ ~ /

7 =-=. Name Per Date _ 11. Find the measure of the indicated angle to the nearest degree. l'()y\ ( ~)::: ~ n \C\Y\\l~) Find the missing side. Round to the nearest tenth. 5inL4~);:: l~/;y.. "Sk) (?"')?~ CDS(&,q)~ ~ ~~:} ;YA?C ~: cer;-~ 0~0 ( L.J) 13. John wants to measure the height of a tree. He walks eactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. How tall is the tree? n ',"'/-- ctyuc5\a;\- 1- \O\y)(53) ~ido t.o'?-pat (), idco 14. Ajet airplane begins a steady climb of 15 and flies for two miles. What is the change in altitude,('),~r in feet? o~ e9--x I)L '5i" (IS) <::::-'D-;:-I0 ~~ J~ 15. A ladder leaning against the side of a house forms an angle of 65 with the ground. The foot of the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot. IPSa. 'I 16. Jamal says that the cosine ratio of a right triangle is 1.2. Without seeing the triangle, eplain how you know that Jamal made a mistake in setting up the cosine ratio.

8 Name Per Date _ ~ 17. Find the missing side lengths. Leave your answer in simplest radical form. - y j 45" X :::~.[2 <Jj~6./Q d s,/ The length of each altitude of an equilateral triangle is 6. What is the length of each side of the triangle? 19. The length of each altitude of an equilateral triangle is 4.5, find the perimeter of the triangle. 4 ~~~f3 - (7 G l--:j.. c;-q~~t 20. The perimeter of an equilateral triangle is lsv8, find the length of each altitude. ~::.;t<j3..j3 X ~ ;)...r:;- 3 ~-;..l.~