G.SRT.8 WORKSHEET #2 - PATTERSON

1. Solve the following problems.

a) A tree casts a shadow 21 m long.55". What is the height of the tree?

Tan 55o= jZI

The angle of elevation of the sun is

13 2"t .1? r

b) A helicopter is hovering over a landing pad 100 m from where you alEstanding. The helicopte/s angle of elevation with the ground is 15o.

What is the altitude of the helicopter?.

To, lf "= X\oo

!.! 2G,71 ,n,

Txe. Taleg- ISx = (C.^ssX.r) Zn .11"n Th&t-.

x = (ra.n rs")(roo) [i?'HI;t

Strse= L30

srni'(e/so)=6g = 1r,47"

.>.)\\-\::-1.

la+>OF TaL'26,71,*

c) You are flying a kite and have let out 30 ft of string buta 8 ft tree. What is the angle of elevation to the location of the kite?

d) A 15 m pole is leaning against a wall. The foot of the pole is 10 m fromthe wall. Find the angle that the pole makes with the ground.

-e) i-q8.,?'locose = tscot'' (to/rs) = g

Tu€t^J HH

Af.ratj-Ti.{ E

"+ 8. ll

'Tue?a*6o.cun"oo

nAlcgt

rS

e) A guy wire reaches from the top of a 120 mtower to the ground. The wire makes a 68o angle with the ground. Findthe length of the guy wire.

Stnr 68' PX,

IZC)2( ilE'( t,n Cr)x s l2o

f) An airplane climbs at an angle of 15" with the ground. Find the grounddistance the plane travels as it moves 2500 m

)< = Zlo 3. tS'^^Txg y.oz2a^,SL D,S?AN tE

c6s 16o= *.x --(qos B) (zroo) t! Zt{03.lS''.

A.sHT.A WORKSHEET #Z _ PATTERSON

g) A lighthouse operator sights a sailboat at an angle of depression of 12".lf the sailboat is 80 m away, how tall is the lighthouse?

T*r..r \L"z X8c>

x -- (r**, rz " \( go\Solve the following problems.' '2. a) How long is the guy wire? b) What is the angle formed

between the guy wire and theground? _ ,l

lant = E

tooT^n-\ (tl/too) "ee = 3(.Aoatl of Zuf:vlt'lla,,t ,E ?C.tl

3.a) What is the length of the lineof sight from the man to thehelicopter?

loo z +1{", xzI5t62s-s x'

4.a) A field has a length of 12 mand a diagonal of 13 m. What isthe width?

tZ ?+*2= l3Ll{{ +,^rz = t61

ur?r ZS rr=S@

I --I .--

13 o

t2m

7lr"r

2I +-rlal rt6

L9

r.L=)(

=x?=x2

b) What is the angle formedbetween the diagonal and thewidth of the field?

Strrr 6 =- lz/t g

5rrs-'(relrr)=g6 = (".38

6-€ FotrtED L-?.3ao

\J

5.a) A 5 ft 11 inch women casts 3 ft shadow. What is the angle that thesun's rays make with the ground?

TLn o = -|t/za

TAH-, 0t /sc) = o

6. a) A ramp is 18 m long. lf the b) What is the angle of elevation ofhorizontal distance of the ramp is the ramp?17m, what is the vertical distance? t 1'cos 6=+,t+treslgz tu

x2 +zE\= 3z'lx Z= 3S

cos-t(r+/ta)=eo = ll.llo

'- |.7. o o rui

Tae ul L+{rH

I S | 7. oo n- 'l--lt.

Tit"i'(qlr) = 6

b) What is the angle of elevationfrom the man to the helicopter?

lzf = XLtrvB oF slc;rtr 's

lzf!,'^ .

o s63. ttTue Ail{ a",E FtzHE 6 I s 6 3 .tl'

36 rr

17m

Lrc4 o? €-Et'1"'^'

2

G.SRT.SWORKSHEET#2- PATTERSON 3

7. a) Using the drawbridge diagram, determine the distance from one side to the other. (exact answer)

qolz 4o12

b) Now that you know the distance from side to side, determine how high the drawbridge would be if the

angle of elevation was 60o.(exact answer)

6 ?4r ?

lrl Il-ili

| = aB'11 F+v

c) How far apart would the drawbridge be if the angle of elevation of the drawbridge was 20o?

r--r--rtt

I

tsaAu r,urrtr( e 1*1','ffi) = 6ftPc6s 26 =

x'-to tZ

x = (cos zo) (.to tr\x = 6?.18 Ft

8ol-z- 2(sz,l8)= 6tP

""(, *rrr,, ot

* 45' it i .-, {5" "40ft I 40ft

I6- AOI-2

-->D0.Au.r39rDG€ wrDfx tS EoJZFl-.

2ofz

6 .82 F+

Ti,re DeastsFADer€-

a Q o. t o-+ {A^,+

rs L,82$t

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