Question

Find the value of x using trig ratios

Answer 1

Question:

Solution:

Considering the data in the figure, we can use the following trigonometric identity:

`\tan (49)\text{ = }\frac{opposite\text{ side}}{\text{adjacent side}}=\text{ }(x)/(11)`

that is:

`\tan (49)\text{ = }(x)/(11)`

now, solving for x we get:

`x\text{ = tan(49) x 11 = 12.654}`

then, we can conclude that the correct answer is:

`x\text{ = 12.654}`