For a wave to be surfable, it can't break all at once. Robert Guza and Tony Bowen have shown that a wave has a surfable shoulder if it hits the shoreline at an angle 0 given by 1 8 = sin-1 (2n + 1) tan(ß) where B is the angle at which the beach slopes down and where n = 0, 1, 2, ... (Round all answers to one decimal place.)

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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for B, why is n=4 incorrect?

For a wave to be surfable, it can't break all at once. Robert Guza and Tony Bowen have shown that a wave has a surfable shoulder if it hits the shoreline at an angle 0 given by
1
sin-1
(2n + 1) tan(B)
where B is the angle at which the beach slopes down and where n =
0, 1, 2,
(Round all answers to one decimal place.)
(a) For B
20°, find 0 when n = 3.
23.1
(b) For B
15°, find 0 when n =
2, 3, and 4.
n = 2
48.3
n = 3
32.2
n = 4
24.3
Explain why the formula does not give a value for 0 when n = 0 or 1.
When n = 0 or 1, values are produced that lie outside the domain of tan.
When n = 0 or 1, values are produced that lie outside the domain of sin-1.
The valuesn = 0 or 1 are not realistic.
The values n = 0 or 1 produce denominators that are zero.
When n = 0 or 1, values are produced that lie outside the domain of sin.
Transcribed Image Text:For a wave to be surfable, it can't break all at once. Robert Guza and Tony Bowen have shown that a wave has a surfable shoulder if it hits the shoreline at an angle 0 given by 1 sin-1 (2n + 1) tan(B) where B is the angle at which the beach slopes down and where n = 0, 1, 2, (Round all answers to one decimal place.) (a) For B 20°, find 0 when n = 3. 23.1 (b) For B 15°, find 0 when n = 2, 3, and 4. n = 2 48.3 n = 3 32.2 n = 4 24.3 Explain why the formula does not give a value for 0 when n = 0 or 1. When n = 0 or 1, values are produced that lie outside the domain of tan. When n = 0 or 1, values are produced that lie outside the domain of sin-1. The valuesn = 0 or 1 are not realistic. The values n = 0 or 1 produce denominators that are zero. When n = 0 or 1, values are produced that lie outside the domain of sin.
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