Question

A boat is crossing the river as shown. To the nearest tenth of a degree, find the angle at which the boat must head upriver in order to travel directly across the river. Diagram is not drawn to scale.

Answer 1

Just looking for some explaining on how to do this, not just the answer.

Answer 2

@skate-4-life270

Answer 3

ok so do u know the formula for trig?

Answer 4

No i dont

Answer 5

ok one sec let me look at something

Answer 6

k

Answer 7

\[a ^{?}+b ^{2}=c ^{2}\]

Answer 8

so c is the hypotenuse

Answer 9

so first find a^2 and b^2

Answer 10

do u know how to do that?

Answer 11

Would you plug 5 and 14 into that equation?

Answer 12

yes

Answer 13

\[4^{2}+14^{2}=c ^{2}\]

Answer 14

wait i typed that wrong

Answer 15

\[5^{2}+14^{2}=c ^{2}\]

Answer 16

Oh ok yah i think i can solve that!
5^2+14^2=c^2
25+196=c^2
221=c^2

I dont remember what to do with the ^2 on the c, i think it has something to do with square rooting

Answer 17

they want you to find the angle x
You have to use trig, SOH CAH TOA
in this case TOA , short for tangent x = opposite side/ adjacent side

Answer 18

yes now \[\sqrt{221}\]

Answer 19

c=14.9

Answer 20

yup thats the answer

Answer 21

is that one of the answers?

Answer 22

Only problem, is thats not the answer to any of the choices DX

its either

A> 70.3 North of west
B> 19.7 North of west
C. 19.7 south of west
D. 70.3 South of West

Answer 23

A. 70.3 North of west
B. 19.7 North of west
C. 19.7 south of west
D. 70.3 South of West

Answer 24

well shoot

Answer 25

@phi u mentioned something on here maybe he knows what he is talking about

Answer 26

im sorry thats as far into trig as ive gotten nevvy

Answer 27

\[ \tan x = \frac{5}{14} \]
so
\[ x = \tan^{-1}\frac{5}{14} \]

Answer 28

you should travel x degrees north of west

Answer 29

ok i will try that @phi