Answer:
The angle of elevation from the base to the top of the mountain is 30°.
Step-by-step explanation:
Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.
To find: The angle of elevation from the base to the top of the mountain.
Let AB be the height of mountain and BC be the base.
Then, according to question, AB=650 feet and AC=1300 feet.
Let ∠ACB=
.
Then, in ΔABC,
![sin\Theta=\frac{AB}{AC}](https://tex.z-dn.net/?f=sin%5CTheta%3D%5Cfrac%7BAB%7D%7BAC%7D)
⇒![sin\Theta=\frac{650}{1300}](https://tex.z-dn.net/?f=sin%5CTheta%3D%5Cfrac%7B650%7D%7B1300%7D)
⇒![sin\Theta=\frac{1}{2}](https://tex.z-dn.net/?f=sin%5CTheta%3D%5Cfrac%7B1%7D%7B2%7D)
⇒
°
Hence, the angle of elevation from the base to the top of the mountain is 30°.
Answer:
$13.25
Step-by-step explanation:
Given data
Cost of game = $25
Markup= 6%
Let us find the total cost of the game
First, the markup cost
=6/100*25
=0.06*25
=$1.5
Now the total cost is
=25+1.5
=$26.5
So, each is expected to pay
=26.5/2
=$13.25
1 2/3 . Hope this helps ;)
Answer:
31/10
Step-by-step explanation:
We can find the slope given two points.
m = (y2-y1)/ (x2-x1)
= (-18-13)/(2 - 12)
= (-31)/(-10)
31/10