Question

If the distance from the top of a building to the tip of its shadow is 150 feet, what is the length of the shadow? A. 144.89 feet B. 965.9 feet C. 53.4 feet D. 72.44 feet

Answer 1

@jdoe0001
@AngelWilliams16
@cassieneargarder

Answer 2

@vexus

Answer 3

You're using SAS for this. Do you know how to use it?

Answer 4

:( no

Answer 5

c^2 = a^2 + b^2 - 2ab * cos(C)

Answer 6

So let's substitute our values into the equation.

Answer 7

150^2 = a^2 + 150^2 - 2a(150) * cos(75)

Answer 8

Make sense so far?

Answer 9

@I<3mybaby

Answer 10

Some what

Answer 11

Which means "No" right? q.q

Answer 12

no I am some what following but I am just getting mixed up

Answer 13

Okay well let's see if you can follow.

Answer 14

150^2 = a^2 + 150^2 - 2a(150) * cos(75)
150^2 = a^2 + 150^2 - 300a * cos(75)

Answer 15

Basic at first

Answer 16

Now I think the easiest thing to do is subtract a^2 from both sides.
150^2 - a^2 = 150^2 - 300a * cos(75)

Answer 17

a²+150²-2a(150)*0.26

Answer 18

Next, we'll subtract 150^2 from both sides.
-a^2 = -300a * cos(75)

Answer 19

oh okay.

Answer 20

It's easier this way.

Answer 21

OK

Answer 22

Now we find cos(75), which is 0.92175126972. We'll round that to 0.92.

Answer 23

-a^2 = -300a * 0.92

Answer 24

Now we have to isolate a.

Answer 25

I got 0.2588190451025076234889883762405

Answer 26

fo the cos(75)

Answer 27

google cos(75)

Answer 28

Okay I used my calculater to find it..

Answer 29

-a^2 = -300a * 0.92
a^2 = 300a * -0.92

I multiplied everything b -1 to get a positive a value.

Answer 30

huh

Answer 31

do u mean by -1

Answer 32

wait, now my calculator is flipping out. O.o

Answer 33

okay

Answer 34

Okay I don't really have all the time to explain this, but the missing side is 157.275 ft.

Answer 35

But that isnt an answer....

Answer 36

A. 144.89 feet
B. 965.9 feet
C. 53.4 feet
D. 72.44 feet

Answer 37

Hmm

Answer 38

@jdoe0001

Answer 39

@mathmale

Answer 40

I have no idea why this isn't working, this is SAS, but my calculator doesn't give me a real answer or it gives me 157.

Answer 41

okay so how would i calculate it jw?

Answer 42

use The Law of Cosines to solve for the remaining side, b
determine which side, a or c, is smallest and use the Law of Sines to solve for the size of the opposite angle, A or C respectively.[2]
use the Sum of Angles Rule to find the last angle

Answer 43

I'm sorry that I can't help, I just don't see what else do to. :/

Answer 44

I got 276

Answer 45

Do you think you can help @Squirrels

Answer 46

No, im sorry </3

Answer 47

:( ok I think I just found it!

Answer 48

@jcpd910
@Squirrels
http://assets.openstudy.com/updates/attachments/509ac2a8e4b085b3a90e2ef1-aripotta-1352322626913-capture4.png found it we did it backwards lol