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.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1