Answer:
h = 22.4
Step-by-step explanation:
Hey there!
Actually, this is VERY easy :)
Just follow the steps and statements, and memorize the formulas below :
This is a triangle and the sides next to the "h" are 30ft and 20ft. Now, in a triangle, we can have something called a hypotenuse which is the longest side in any triangle. Sometimes, there may be an unknown value for the hypotenuse and we would have to solve for it by a very simple formula as shown below. We might also have to solve for a side when the value of the hypotenuse is given.
To solve for the hypotenuse we use this formula :
hyp² = side² + side²
To solve for the side we use this formula :
side² = hyp² - side²
Here we do the opposite of finding the value of the hypotenuse.
Now let's calculate the value for "h" now that we know it's a side.
h² = 30² - 20²
h² = 900 - 400
h = 500
But this isn't the final answer. To get the final answer we have to find the square root of 500.
[tex]h = \: \sqrt{500 \:} \: = \: 22.36068 \: or \: 22.4[/tex]
Therefore "h" is 22.4
To find out if the answer was correct :
22.4^2 + 20^2 = 901.76. (we should get back 30 if the answer was correct)
Square root of 901.76 = 30.0
So, the answer is 100% correct.
