Aright triangle has side length 8,15, and 17 as shown below.

In any right triangle, you have the following properties: if you want to know the cosine of an angle, it is given by the ratio between the adjacent leg and the hypothenuse.

Similarly, the sine of an angle it is given by the ratio between the opposite leg and the hypothenuse.

So, if you focus on the angle X, the adjacent leg is 15 units long, and the opposite leg is 8 units long. The hypothenuse is 17 units long.

So, we have

To compute the tangent, simply use its definition:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

54.864 meters

step-by-step explanation: