Question

The figure shows Angel Stadium of Anaheim and the triangle formed by home plate, the right center field fence, and third base. In the figure, the approximate distance from the right center field fence to third base is 339.4 ft.

https://prnt.sc/11932ho

Outline a plan for how you are going to determine the distance x from home plate to the right center field fence.

Implement your plan

Answer 1

Im not sure how to start

Answer 2

first i would begin with using law of sin?

Answer 3

we wouldn't use law of sines, we would have to use law of cosines

do you know the law of cosines?

Answer 4

Well I guess, you could also use law of sines

but it's up to you

Answer 5

I havent learned about that

Answer 6

But you have learned of law of sines?

Answer 7

Yes

Answer 8

Okay, let's use that then

You can see the triangle that we have. Keep in mind that it is NOT a right angle triangle

First, let's figure out the angle a first

Answer 9

Law of sine:

\(\Large \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c} \)

can you set it up to find the angle 'a'

because we know that the side opposite angle 63.4 is 339.4 feet
And we know that one side has 90 feet so we need to first find the angle opposite 90 feet

and then we can find the third angle because all the angles of a triangle add up to 180

and then we can use law of sine again to calculate the missing side

does that make sense?

Answer 10

yes

Answer 11

so let me know what you get then

Answer 12

idk i keep getting -52

Answer 13

How? and for what?

Show your work

Answer 14

i mean 209

(sin x)/(90)=(sin339.4)/(63.4)

Answer 15

339.4 is the length of the side... not the angle

sin a / 90 = sin 63.4 / 339.4

solve for 'a'

Answer 16

so 16 is the side length

Answer 17

that would be the angle though

Answer 18

How did you get 16??


\(\Large \sf \dfrac{\sin (a)}{90} = \dfrac{\sin (63.4)}{339.4}\)

Answer 19

Remember to also be in degrees and not radians

what is sin 63.4 degrees

divide it by 339.4

then multiply both sides by 90

and then you have sin(a) = ??

and then take the arcsin of both sides
(and remember to be in degrees and not radians)

Answer 20

so how i see @iosangel gave up ... is offline

Answer 21

13.7

Answer 22

That is correct so now you have



Now can you calculate the third angle of the triangle?

Remember that they all add up to 180

Answer 23

102.9

Answer 24

Now use the law of sine to find what 'x' is

\(\dfrac{\sin 63.4}{339.4} = \dfrac{\sin 102.9}{x}\)

Answer 25

369.9

Answer 26

370 ft

Answer 27

There you go

Answer 28

Thank you for your Patience and time

Answer 29

It was my pleasure!