Given cos data = 0.7620, approximate the acute angle to the following a. the nearest 0.01

Mathematics

1 answer:

kow [346]2 years ago

4 0

The acute angle is 40.40 degrees

<h3>How to determine the acute angle?</h3>

The cosine of the angle is given as:

cos(x) = 0.7620

Take the arc cos of both sides

$x = \cos^{-1}(0.7620)$

Evaluate the arc cos

x = 40.359

Approximate

x = 40.40

Hence, the acute angle is 40.40 degrees

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On an airplane there are two seats on the left side in each row and three seats on the right side there are 90 seats on the righ

Anuta_ua [19.1K]

The correct answer is 60 seats on the left side, but you might also want to know how I got that answer . . .

Let's say, n = number of rows

Since we know the airplane has an equal number of rows on the right side as it does on the left side, then we can mathematically show that:

number of sears on the right side = 3n = 90 seats
number of sears on the left side = 2n = ? seats

3n = 90

n = number of rows = 90/3 = 30 rows

Thus:

2n = 2(30) = 60 seats on the left side

as for how many seats all together, just add . . 90 + 60 = 150 seats total

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