A right triangle has one side that measures 4 in. The angle opposite that side measures 80o. What is the length of the hypotenuse of the triangle? Round to the nearest tenth.
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In triangle ABC
BC = 4 in
AC = hypotenuse
AB = base
BC = perpendicular = 4 in
using the formula
tan80 = perpendicular/base = BC/AB
tan80 = 4/AB
AB = 0.705 in
hypotenuse is given using Pythagorean theorem as
AC = sqrt(AB² + BC²)
inserting the above values in the formula
AC = sqrt(0.705² + 4²)
AC = 4.1 in
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