.) A man is in a boat that is floating 175 feet from the base of a 200-foot cliff. What is the angle of depression between the cliff and the boat?

The angle of depression is 41.186°

Step-by-step explanation:

This problem can be thought of as a right triangle

well to start we have to know the relationship between angles, legs and the hypotenuse  in a right triangle

α = angle of depression

a: adjacent  = 200ft

o: opposite  = 175ft

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

we look at which meets those data between the sine, cosine and tangent

is the tangent

tan α = o/a

Now we replace the values and solve

tan α = 175ft / 200ft

tan α = 0.875

α = tan ^-1 (0.875)

α = 41.186°

The angle of depression is 41.186°

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

3,750 deer

step-by-step explanation:

1,500 is 15 times larger than 100

lets make 250 15 times larger.

3750 deer