A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the observer (O)? 33.69°
41.81°
48.18°
56.31°

Option (4). 56.31°

Step-by-step explanation:

From the figure attached,

Distance between the bird and tower (BT) = 6000 feet

Distance between the tower and the observer (OT) = 9000 feet

We have to find the angle of depression (∠TBO)

tanx =

tanx =

tanx = 1.5

x =

x = 56.31°

Angle of depression from the bird to the observer is 56.31°

Option (4) will be the answer.

5

step-by-step explanation:

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