The function y = 7x + 35 represents the monthly cost y (in dollars) of a group of x members joining the fitness club.
B . Your group has enough money for up to six members to joim fitness club find domain and range of function

D

Step-by-step explanation:

Please refer to the drawing (sorry, it's kind of bad. It's hard drawing on a laptop).

Anyways, the angle of elevation is simply the angle from the ground/sea level to the object. We are told that the boat is 120 meters away from the lighthouse. The angle of elevation from the boat to the (top of the) lighthouse is 40°. And, we are told that a right triangle is formed.

With this, we can use tangent. This is because we have an angle, the side adjacent to the angle (120 m) and we want to find the side opposite to the angle (the height). Recall that tangent is the opposite side over the adjacent side. Therefore:

x is 40°, the opposite is the height h, and the adjacent is 120 meters. Plug in the numbers:

This is the same as option D. The variables are just different.

Further notes:

To solve, multiply both sides by 120 to cancel out the 120 on the right and isolate the h:

(Use a calculator)

Therefore, the lighthouse is approximately 101 meters tall.