Answer: x = 67.5 ft
Explanation:
Following the statements you can draw the triangles mnp and mab.
1) Both are similar triangles with the common vertex m, and with these corresponding sides:
- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb
2) So, by side-angle-side theorem
segment ma segment mb
------------------ = ---------------------
segment mn segment mp
3) You know:
- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5
4) Therefore:
x 49.5
--------- = ----------
97.5 71.5
5) Solve for x:
x = 97.5 * 49.5 / 71.5 = 67.5
Answer: x = 67.5 ft.
Sphere Surface Area = <span> 4 • <span>π <span>• r²
50.27 = 4 * PI * r^2
</span></span></span>
<span>50.27 / (4 * PI) = r^2
</span>
<span>
<span>
<span>
4.0003594946
</span>
</span>
</span>
= r^2
r = sq root
(<span>
<span>
<span>
4.0003594946)
radius = </span></span></span>
<span>
<span>
<span>
2.0000898716
</span>
</span>
</span>
So the diameter =
<span>
<span>
<span>
4.0001797433
</span>
</span>
</span>
or it is roughly 4 feet
base, b = 45m
angle of elevation, aoe = 82deg
height at 86th floor, h1
height above 86th floor, h2 = 123m
total height, h = h1 + h2
using
tan (aoe) = h1/b
=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2
h = h1 +h2 = 320.2 + 123 = 443.2m
Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
