Question B.3: Consider the right triangle in Figure B.12 in which a = 2.00...
Consider the right triangle in Figure B.12 in which a = 2.00, b = 5.00, and c is unknown. (A) Find c.
(B) Find the angle θ.
(A) Use the Pythagorean theorem:
c² = a² + b² = 2.00² + 5.00² = 4.00 + 25.0 = 29.0
c=\sqrt{29.0}=5.39(B) Use the tangent function:
\tan \theta=\frac{a}{b}=\frac{2.00}{5.00}=0.400Use your calculator to find the angle:
\theta=\tan ^{-1}(0.400)=21.8^{\circ}where \tan ^{-1}(0.400) is the notation for “angle whose tangent is 0.400,” sometimes written as arctan (0.400).
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