Answer:
x = 240 feet
Step-by-step explanation:
It is given that,
The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.
We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :

So, the distance the diver must swim up to the boat is 240 feet.
The value of D should be 4
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).