Question

Solve the right triangle shown in the figure. C. BC= 3.2m, B = 43.29, ZC = 90° a. ZA = 46.80, AC = 1.9m, AB = 3.7m b. ZA = 46.89, AC = 5.3m, AB = 4.4m - LA = 46.8°, AC = 5.3m, AB = 6.2m ZA = 46.8°, AC = 3.0m, AB = 4.4m d. -

Answer 1

Answer: D

answer in picture too

Explanation:

edge 2023

Answer 2

The given triangle can be shown below

Since the sum of angles in a triangle is 180 degrees it follows

`\angle A+\angle B+\angle C=180^(\degree)`

It follows

`\begin{gathered} \angle A+43.2+90=180^(\degree) \\ \angle A=180-90-43.2 \\ \angle A=46.8^(\degree) \end{gathered}`

From the triangle above

Using trigonometrical ratios

It follows

`\tan 43.2=(b)/(3.2)`

This gives

`\begin{gathered} b=3.2*\tan 43.2 \\ b=3.2*0.9391 \\ b=3.0 \end{gathered}`

Hence,

`b=3.0m`

Also

`\cos 43.2=(3.2)/(c)`

It follows

`\begin{gathered} c*\cos 43.2=3.2 \\ c=(3.2)/(\cos 43.2) \\ c=(3.2)/(0.7290) \\ c=4.4 \end{gathered}`

Hence,

`c=4.4m`

Therefore, the solutions are

`\angle A=46.8,\bar{AC}=3.0m,\bar{AB}=4.0m`