Move 6x to the right side
2y = -6x - 14
Divide all numbers by 2 to isolate the variable
2y/2 = -6x/2 - 14/2
y = -3x - 7
From right triangle trigonometry, we have the following:

,
where the "opposite side" means the opposite side to angle with measure

, and "adjacent side" means the adjacent side to angle with measure

.

is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives

Thus, back in the equation

we substitute as follows and solve:


Answer: 8.4 cm
Answer:
-30 feet
Step-by-step explanation:
What we know:
The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.
After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.
210 - 240 = -|240-210| = -|30| = -30 feet
After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.
-30 + 80 = |80 - 30| = |50| = 50 feet
Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.
50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop