Question

Solve the triangle below without using either the cosine or tangent ratios

Answer 1

Given

To solve the triangle, without using either the cosine or tangent ratios.

Step-by-step explanation:

It is given that,

`\theta=23\degree`

By using the sine ratio, we get,

`\begin{gathered} \sin23=(a)/(16) \\ a=16*\sin23 \\ a=6.25 \end{gathered}`

That implies,

`\begin{gathered} a^2+b^2=16^2 \\ 6.25^2+b^2=16^2 \\ 39.0625+b^2=256 \\ b^2=256-39.0625 \\ b^2=216.9375 \\ b=14.73 \end{gathered}`

Hence, the answer is,

`a=6.25,b=14.73`