Question

What is the distance between the walls?

30 m
40 m
70 m
100 m

Answer 1

i had to post the ss

Answer 2

i think its 40

Answer 3

@snowflake0531

Answer 4

is that correct ?

Answer 5

obviously not

Answer 6

First find the left half/part of it
what is the length of that?

Answer 7

umm.. is it 30 m for the left side ?

Answer 8

hmm, lets do the right triangle first

SOH CAH TOA

we need to use TOA, since we dont want to do anything with hypotenuse.

adjacent=?

opposite=40

\( \theta = 45^o \)

\( \tan \theta = \frac{opposite}{adjacent} \Rightarrow \tan 45^o= \frac{40}{adjacent} \)

\( adjacent= ?? \)

Answer 9

\[ adjacent_2=\frac{40}{1} \Rightarrow adjacent=40 \]
now lets do the 2nd left triangle

SOH CAH TOA

we have to use CAH, as we dont have anything to do with opposite, and we need to find the adjacent.

adjacent=?

hypotenuse=60

\( \theta = 60^o \)

\( \cos \theta = \frac{adjacent}{hypotenuse} \Rightarrow \cos 60^o= \frac{adjacent}{60} \Rightarrow 0.5=\frac{adjacent}{60} \Rightarrow adjacent=60 \times 0.5 \)

\( adjacent_1 = 30\)

Answer 10

now all that's left to do, is sum it up
\[ 40+30 =70 \]

and nah yeah thats your answer