The coordinates of A, B, and C in the diagram are A(p, 4), B(6, 1), and C(9, q). Which equation correctly relates p and q?
1 answer:
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A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp
The diagram is attached below using the given information
We have two similar triangle
Triangle ACD is similar to triangle ABE. So the sides are in proportional
AC = AB + BC = 3m
2x = 1.8 * 3 (cross multiply)
2x = 5.4
Divide by 2 on both sides
x = 2.7
Height of Lamppost is 2.7 meter
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
Since both expressions are equal to y, you have to equal both expressions like this:
Now you can solve the equation:
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result
So, the answer is x=10 and y=-1
first you have to express one variable in terms of the other, in this we can express y in terms of x:
Since both expressions are equal to y, you have to equal both expressions like this:
Now you can solve the equation:
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result
So, the answer is x=10 and y=-1