Answer:692.82 ft
Step-by-step explanation:
Given
Height of tower is ![h=100\ ft](https://tex.z-dn.net/?f=h%3D100%5C%20ft)
Tower is mounted at the top of
hill
angle of elevation ![\theta =60^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D60%5E%7B%5Ccirc%7D)
Using figure we can write
![\tan \theta =\dfrac{h+H}{\text{Distance}}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%5Cdfrac%7Bh%2BH%7D%7B%5Ctext%7BDistance%7D%7D)
![\tan 60^{\circ}=\dfrac{100+1100}{\text{Distance}}](https://tex.z-dn.net/?f=%5Ctan%2060%5E%7B%5Ccirc%7D%3D%5Cdfrac%7B100%2B1100%7D%7B%5Ctext%7BDistance%7D%7D)
![Distance =\frac{1200}{\tan 60^{\circ}}](https://tex.z-dn.net/?f=Distance%20%3D%5Cfrac%7B1200%7D%7B%5Ctan%2060%5E%7B%5Ccirc%7D%7D)
![Distance=\frac{1200}{\sqrt{3}}](https://tex.z-dn.net/?f=Distance%3D%5Cfrac%7B1200%7D%7B%5Csqrt%7B3%7D%7D)
![Distance=692.82\ ft](https://tex.z-dn.net/?f=Distance%3D692.82%5C%20ft)
Answer:
1.14083...E21
Step-by-step explanation:
Answer: Construct two angle bisectors of the triangle
Step-by-step explanation:
To construct the inscribed triangle, you first need to construct the incenter. The incenter is defined as the point of intersection of the angle bisectors of a triangle.
Answer:
Yes.
Step-by-step explanation:
Step-by-step explanation:
the volume of a cone is
pi×r²×h/3
18×pi = pi×1.5² × h/3
54 = 1.5² × h = 2.25 × h
h = 54/2.25 = 24 meter