1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Look it up on answers.com
Answer:
Step-by-step explanation:
Area of a circle = (3.14) (6)2
= 113.04
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The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.