Question

Find the missing side or angle.Round to the nearest tenth.b=15a=30c=29A=[ ? 1°

Answer 1

STEP 1

The given parameters are a=30, b=15 and c=29

The corresponding cosine rule needed to find the angle A is denoted below

`A=\cos ^(-1)\mleft[(b^2+c^2-a^2)/(2bc)\mright]^{}`

STEP 2

Substitute the given parameters into the equation.

`\begin{gathered} A=\cos ^(-1)\mleft\lbrace(15^2+29^2-30^2)/(2*15*29)\mright\rbrace \\ A=\cos ^(-1)\mleft\lbrace(225+841-900)/(870)\mright\rbrace \\ A=\cos ^(-1)\mleft\lbrace(166)/(870)\mright\rbrace \\ A=\cos ^(-1)0.1908 \\ A=79.0^0 \end{gathered}`