Take 90 cm as the two sides of a triangle (Line B and C), with an angle of 32 degrees (Degree 'a'). Use the Law of Cosine to find out Line A's length. Round it up to the nearest digit.
I interpret your question to mean
a^2 = 90^2 + 90^2 - 2(90)(90)cos 32°
you do the arithmetic
i do not know
To use the Law of Cosines to find Line A's length, we need to use the formula:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, we are given that line b has a length of 90 cm (b = 90 cm), line c has a length of 90 cm (c = 90 cm), and the angle opposite line c (angle C) is 32 degrees (C = 32 degrees).
Now, let's substitute these values into the formula and solve for line a:
a^2 = c^2 + b^2 - 2bc * cos(A)
a^2 = 90^2 + 90^2 - 2(90)(90) * cos(32)
Calculating this expression, we get:
a^2 = 8100 + 8100 - 16200 * cos(32)
Let's calculate cos(32) and substitute it into the equation:
cos(32) ≈ 0.848
a^2 = 16200 - 16200 * 0.848
Simplifying further:
a^2 ≈ 16200 - 13716
a^2 ≈ 2484
Now we can solve for a by taking the square root of both sides:
a ≈ sqrt(2484)
a ≈ 49.84 cm
Rounding to the nearest digit, Line A's length is approximately 50 cm.