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
First lets distribute the 5x
5x^2 + 30x = -50
Lets divide every term by 5
x^2 + 6x = -10
To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9
Add that to both sides of the equation
x^2 + 6x + 9 = -1
Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)
(x+3)^2 = -1
Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i
Hack:
x% of 100=x
88% of 100=88
times both sides by 6
88% of 600=6 times 88
88% of 600=528
answer is 528
I got -307 (if the x stands for multiplication)
There are a number of different problems that you could do that will give you an outcome of 9/10
For example, 1/2 and 2/5 add up to 9/10.
3/10 and 6/10 also add up to 9/10.
Find the sum of 7/10 and 1/5
Find the sum of 7/20 and 11/20
Find the sum of 1/2 and 3/10 and 1/10
Find the sum of 1/5 and 2/5 and 3/10
Hope this helps :)
