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)? Right triangle OTB is shown. Side OT labeled 9000 and side TB is labeled 9000. The angle B is labeled x degrees.

The angle will be "48.7°".

Step-by-step explanation:

In ΔTBO, the given values are:

TB = 6,000 feet

BO = 9,000 feet

Now,

To find the angle,

⇒  

On putting the estimated values, we get

⇒  

⇒  

⇒          

⇒              

56.31

Step-by-step explanation:

9000/6000 (opposite/adjacent)=1.5

(1.5)=56.30993247

Round the answer to 56.31

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.