An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. to the nearest foot, how far is the boat from the base of the lighthouse?

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression =

      [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

Here, BC = 50 foot and

then;

or

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}