Question

S=15*3*sin45°, Sin45°= ✓2/2, S=?​

Answer 1

Ответ:

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Answer 2

To calculate the value of S, you can follow these steps:

1. Calculate sin(45°) = √2/2.

2. Multiply 15 by 3: 15 * 3 = 45.

3. Multiply the result from step 2 by sin(45°):

   S = 45 * (√2/2).

Now, you can simplify this expression by multiplying 45 by √2/2:

S = (45 * √2) / 2.

To make it look neater, you can rationalize the denominator by multiplying both the numerator and denominator by √2:

S = (45 * √2 * √2) / (2 * √2).

Now, simplify:

S = (45 * 2) / (2 * √2).

Simplify further:

S = 90 / (2 * √2).

Simplify the denominator:

S = 90 / (2√2).

To rationalize the denominator further, multiply both the numerator and denominator by √2:

S = (90 * √2) / (2 * √2 * √2).

Simplify:

S = (90 * √2) / (2 * 2).

Simplify further:

S = (90 * √2) / 4.

Now, divide 90 by 4:

S = 22.5√2.

So, S is approximately equal to 31.82 when rounded to two decimal places.