11/9 is the answer of the question
The equation would be y = -(3/4)x+1
Answer: x ≈ 18 ft
Step-by-step explanation:
We will use our trig knowledge to solve this.
The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.
We can set up a simple trig equation of: tan(50) = x/15
x being the height of the lamppost.
Now we solve.
tan(50) = 1.1918
1.1918 *15 = x
x = 17.876
Now round to the nearest foot.
x ≈ 18 ft
Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and 2/3 converts to 8/12.
Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run.
Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.
Hope this helped!