Answer:
m>7 = 142°
Step-by-step explanation:
m>6 = 38°
180° - 38° = 142°
m>7 = 142°
Check the picture below, so the circle looks more or less like so, with a radius of 9.
![\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57](https://tex.z-dn.net/?f=%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D9%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%289%29%5Cimplies%20C%5Capprox%2057)
Answer:
Angle of elevation = 80°
Step-by-step explanation:
A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?
To solve for angle of elevation, we use the Trigonometric function of Tangent.
tan θ = Opposite side/Adjacent side
Opposite side = Height of the tower = 217 ft
Adjacent side = 38ft
tan θ = 217/38
tan θ = 5.6315789474
θ = arc tan 5.6315789474
= 79.930937301°
Approximately = 80°
Answer:
The height of the ramp is 1.39 m.
Step-by-step explanation:
We have,
A wheelchair ramp is 8.0 m long
The angle of inclination is 10°
It is required to find the rise of the ramp.
Here, hypotenuse is 8 m and angle of inclination is 10°.
Using trigonometry to find it.

x is rise of the ramp

So, the height of the ramp is 1.39 m.