Answer:
Distance between balloon and point of liftoff is 1118 feet.
Step-by-step explanation:
A hot air balloon rises straight up 500 feet. It catches a breeze and is blown west 1000 feet.
Since this phenomenon is three dimensional but I have drawn it in 2 dimensions.
So distance between balloon and the liftoff point will be
x² = 1000² + 500²
=
x =
= 1.118×1000
= 1118 feet
Therefore, distance between balloon from the point of liftoff is 1118 feet
Answer:
D. 21/2
Step-by-step explanation:
We simply have to evaluate the first three terms based on the progression's formula:
t= 1, the first term is 8, as we see:
t=2, the second term is 2, as we see:
t=3, the third term is 1/2, as we see:
The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2
Among the answer choices, D. 21/2, which is 10 1/2.
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14 using either Pythagorean Theorem or special right triangle properties for 30-60-90.