Before rock climing, fernando, who is 5.5 ft tall, wants to know how high he will climb. He places a mirror on the ground and wa
lks six feet backwards until he can see the top of the cliff in the mirror.
1 answer:
Answer: 31. 16 ft
Step-by-step explanation:
The other part of the question is:
If the mirror is 34 feet from the cliff side, determine the height of the cliff.
We can solve this problem with geometry, if we imagine two righ triangles (figure attached):
-One formed by Fernando, who is 5.5 ft tall, and the ground
-The other formed by the height of the cliff, the cliff side and the ground.
In addition both triangles are congruent, hence we can use the following relation to find :
Iolating :
This is the height of the cliff
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Hello!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.
The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).
11=3.5(-3)+b
11=10.5+b
b=0.5
Our final equation is shown below.
y=3.5x+0.5
I hope this helps!
I hope you can read this or see it and it helps,thanks bye bye.
