Refer to right triangle ABC with C=90∘. Begin each problem by drawing a picture of the triangle with both the given and askedfor information labeled appropriately. Also, write your answers for angles in decimal degrees. If a=42.3 inches and b=32.4 inches, find B

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Refer to right triangle ABC with C=90∘. Begin each problem by drawing a picture of the triangle with both the given and asked­for information labeled appropriately.  Also, write your answers for angles in decimal degrees.  If a=42.3 inches and b=32.4 inches, find B

Elberte · Accepted Answer

Data analysis Given right angled triangle at C for a triangle △ ABC. And a=42.3 inches b=32.4 inches To find angle at B. The triangle with above data is as follows  Solution Since the give triangle is right angled, Applying Pythagoras theorem, c2=a2 + b2 =42.32 + 32.42 =1789.29 + 1049.76 ⇒c= 2839.05=53.2827364 Hence the length of AB=c=53.28 inches (Rounding to two decimals) By sine law, sin⁡ B=opposite sidehypotenuse =AC/AB =b/c =32.4/53.28 ⇒ ∠ B=arcsin⁡ (0.608108)=37.4528244∘ Hence the angle at B is 37.24∘ (Rounding to two decimals)

Refer to right triangle ABC with C = 90^{circ}. Begin each problem by drawing a picture of the triangle with both the given and askedfor information labeled appropriately. Also, write your answers for angles in decimal degrees. If a = 42.3 inches and b = 32.4 inches, find B

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