Archimedes went to sleep beside a big rock. he wanted to get up at 8 am, but the alarm clock was yet to be
invented! he decided to sleep at the spot where the rock's shadow should end when it's 8 am so as to be
awakened by the direct sunlight.
archimedes knew that at 8 am, the sunlight reaches the ground at an angle of 43°. the rock beside which he
slept was 7 meters tall.
how far from the rock did archimedes go to sleep?
round your final answer to the nearest hundredth.

Archimedes went to sleep 7.51 meters from the rock.

Step-by-step explanation:

We are told that the sunlight reaches the ground at an angle of 43°,  and that the rock is 7 meters tall.

The distance from the rock where Archimedes should sleep is:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.