Hello :
sin<span>θ = 15/17
</span> use pythagorean identity : cos²θ +sin² θ = 1
cos²θ = 1 - sin² θ
cos²θ = 1-(15/17)²
cos²θ = 1- 225/289
cos²θ = 64/289
cos²θ = (8/17)²
cosθ = 8/17 or -8/17
Answer:
Step-by-step explanation:
In order to calculate the volume of a triangular prism you need 2 things:
The triangles area and the prism's height.
Any prism's volume can be calculated by multiplying its base area with its height.
The Area of a triangle can be calculated in different ways.
The most used and "normal" way is:
(width * height) / 2
Another way is by using herons formula, which looks like this:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
When you have the prism's base area (
) you just have to multiply:

(V = volume)
If you have any questions, just ask them in the comments below.
Have a good day! (●'◡'●)
Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:
the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship
The distance between the City and Lemont can be worked out using the Sin rule


≈98.3
The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem

≈36.8
The distance between the ship and the Buoy is given:

miles
Answer:
A $60.50
Step-by-step explanation:
165 divided 3 = $55.00 per class
55.00 X 10% = 5.50 per class
55.00 + 5.50 = 60.50