Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?

a.87.840
b.46.08 °
c. 43.92 °
d.92.160

OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with .

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of   by using arctangent:

In this case you can identify that:

Therefore, substuting values into  , you get that the angle of depression is:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.