GeometryWorksheet - Trig Ratios in Right Triangles

Nome _Date Per-iod _

'For each of the following, write the equation to find the missing value. Then rewrite the equc+ion that you willenter in our calculator. Round our final answer to the nearest tenth.

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x 300

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4

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x"" \q.;:L x"" lo.~Y"" 5.5 y"" 1\.3mLB= ,,,- y

mLA= -5 '2>0

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11. How tall is the tree?

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12. A man who is 6 feet tall is flying a kite. The kitestring is 75 feet long. If the angle that the kitestring makes with the line horizontal to the ground is35°, how far above the ground is the kite? 4 q. 0tt

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13. A ladder 14 feet long rests against the side ofa building. Thebase of the ladder rests on level ground2 fed from the side of the bui lding. What angle does the lade' form with the ground?

14. A 24-foot ladder leaning against a building forms an 18° angle with the side of the building. How faris the base of the ladder from the base of the building?

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I. 'f.15. A road rises 10 feet for every 400 feet along the pavement. What is the measurement of the angle the

road forms with the horizont~!? Sin 1C z: J9..

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16. A 32- foot ladder leaning against a building touches the side of the building 26 feet above the ground.What is the measurement of the angle formed by the ladder and the ground?

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----'~ _ _____'x'-'---:....___,_ 'X. =- A-Vrv -:;-2.. ) ,The directions for the use of a ladder recommend that for maximum safety the ladder: should beplaced against a wall at a 75° angle with the ground. If the ladder is 14 feet long, how far from thewall should the base of the ladder be place?' ,

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II,18. A kite s held by a taut string pegged to the ground. The string is,40 feet long and makes a 33° with

the ground. Supposing that the ground is level, find the vertical distance from the ground to the kite.

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o 1- 40 A.Mv ~ 3~ r-3;'19. A wire anchored to the ground braces iSY~otpole. The wire is 20, feet long and is attached to the

pole 15 feet from the.base of the pole. What angle does the wire makewith the ground?

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20. A jet airplane begins a steady climb of 15°

altitude?_~. .... ~ .

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and flies for two ground miles. What was its change int 0..'1\ \5° =- 1:. /

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iO-.Y\ ~s = ~ \\-w - ~OS~",40

~ ~5" S\~ d.S

w-2.0

~o ..a.vtvLtO=W

\w= 1;;I..q\

c.::

--R.11,_- 70:;;N'VlV \ C

10 ~ IO'::'-R.

[q.'4=~\. 5 ~A,vy.J 5 = X

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X - ~55-~SS

lX::: \\.5"1--

'/..20

.;to ~ 40.;.: X

[15. ~ ~'X 1

w :.J.O~\f-Oto...V) as tv..25

t-&v 10 = w\0

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~to.nv 55 =: ~

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Z: = ~./e, (Co. 57Q-,Q