None of the pairs will deliver (g×f)(a). If you intend (g∘f)(a), then ...
... selection 3 is appropriate.
The number 2.71828182846... is irrational since the decimal portion "71828182846" goes on forever without any pattern. We cannot write this as a fraction or ratio of whole numbers.
Between A and B = 12 is A.
9514 1404 393
Answer:
-101 feet
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relevant relation is ...
Tan = Opposite/Adjacent
Opposite = Adjacent × Tan
height = (0.5 × 5280 ft) × tan(47°) ≈ 2831 ft
__
The usual relation between estimates and errors is ...
error = estimate - actual
Then ...
actual = estimate - error
For the given angle and error, the actual angle is ...
actual angle = 47° -(-1°) = 48°
actual height = (2640 ft)·tan(48°) ≈ 2932 ft
Then the change in the height of the mountain due to the error is ...
2831 ft -2932 ft = -101 ft
The error of -1° in angle estimate creates an error of -101 ft in the height estimate.