Question

3 1 point Solve for x. Round your answer to the nearest 2 deci 100 16 1 Type your answer... 2

Answer 1

EXPLANATION

Given the right triangle, we know by the Pythagoras Theorem that the following relationship applies:

Tg α= opposite cathetus/adjacent cathetus

Isolating the Opposite Cathetus:

`AdjacentCathetus\cdot\tan \alpha=\text{Opposite Cathetus}`

Replacing terms:

`16\cdot\tan 10=x`

Switching sides:

`x=16\cdot\tan 10`

Simplifying:

`x=2.82`

The answer is 2.82 units