Answer:
m(ABC) = 218°
Step-by-step explanation:
The measure of any arc with end points of an inscribed angle = 2 × inscribed angle
Inscribed angle = m<AMC = 109°
Intercepted arc = m(ABC)
Therefore,
m(ABC) = 2 × 109°
m(ABC) = 218°
Answer:
(-3, 16)
Step-by-step explanation:
If it is reflected off the y - axis, the x coordinates change.
It becomes (-3, 16)
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
![tanx = \frac{opposite side}{adjacent side}.](https://tex.z-dn.net/?f=tanx%20%3D%20%5Cfrac%7Bopposite%20side%7D%7Badjacent%20side%7D.)
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
![tan x = \frac{25,000}{45,000} = 0.5555.](https://tex.z-dn.net/?f=tan%20x%20%3D%20%5Cfrac%7B25%2C000%7D%7B45%2C000%7D%20%3D%200.5555.)
So x = 29.0521°. Since x < 30°, it is a safe landing.
Answer:
6
Step-by-step explanation:
Hope this helps! Pls give brainliest!