Solve the right triangle. Round decimal answers to the nearest tenth.

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Question:

Solve the right triangle. Round decimal answers to the nearest tenth.

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Answer:Step-by-step explanation:take angle A as reference angleusing cos rulecos A = adjacent/hypotenusecos A =10/15cos A =0.66[tex]A=cos^{-1} (0.6666)[/tex]A=48.194A=48.2angle A + angle B + angle C =180 degree (being sum of interior angles of a triangle)48.2 + angle B + 90 =180138.2 + angle B =180angle B =180-138.7angle B =41.8for BCusing pythagoras theorema^2 + b^2 = c^2AC^2 + BC^2 = AB^210^2 + BC^2 = 15^2100 + BC^2 = 225BC^2 = 225-100BC^2 = 125[tex]BC=\sqrt{125}[/tex]BC=5[tex]\sqrt{5}[/tex]BC=11.2

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