Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
I believe the correct answer is G
Answer: An expression for the height is: H = (3/64)V
To start with, we will assume that it is a square pyramid, meaning all the sides of the base are 8 feet wide.
Now, we need the formula for the volume of a square pyramid.
V = BH/3
We know the area of the base, it is 8 x 8 = 64, so we can input that.
V = 64H/3 We can multiply by 3/64 to find an expression for the height of the fort.
(3/64)V = H
