7.) 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 between the cliff  and the boat is

Step-by-step explanation:

Given:

Base width  of the cliff=175 foot

Height of the cliff= 200 foot= 200 foot

To Find:

The angle of depression between the cliff  and the boat=?

Solution:

Angle of Depression

The angle below horizontal that an observer must look to see an object that is lower than the observer.The angle of depression is congruent to the angle of elevation  

Substituting the values,

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

the answer is 8/21

hope this