Question

Need help Instructions: Find the measure of each angle Calculate the length of each side Round to the nearest tenth

Answer 1

Given,

The length of the perpendicular is 4.

The measure of the hypotenuse is 14.

Required:

The measure of each angle of the triangle.

As it is a right angle triangle,

The measure of angle C is 90 degree.

By using the trigonometric ratios,

`\begin{gathered} cosA=(AC)/(AB) \\ cosA=(4)/(14) \\ A=cos^(-1)((4)/(14)) \\ A=73.4^(\circ) \end{gathered}`

By using the trigonometric ratios,

`\begin{gathered} sinB=(AC)/(AB) \\ sinB=(4)/(14) \\ B=sin^(-1)((4)/(14)) \\ B=16.6^(\circ) \end{gathered}`

Hence, the measure of angle A is 73.4 degree, angle B is 16.6 degree and angle C is 90 degree.