Standing on the edge of a cliff 30 m tall, bob notices a kayak on the lake. if the angle of depression to the kayak is 400, what is the distance, to the nearest meter, from the kayak to the base of the mountain?

Explanation:

The vertical height of the cliff, 30 m tall, and the horizontal distance from the kayak to the base of the mountain form a right triangle.

The angle of depression is 40º.

By the alternate interior angles theorem, that depression angle is congruent to the elevation angle from the kayak to the spot where Bob is standing on.

The tangent trigonometric ratio relates the height (30 m) with the distance from the kayak to the base of the mountain:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.