Question

Determine the approximate value of x.

a.
b.
2.13
3.53
c. 4.39
d. 7.52

Answer 1

We have been given a right triangle. We are asked to find the value of x.

We can see that x is opposite side to angle that measures 62 degrees and adjacent side to angle is 4 units.

We know that tangent relates adjacent and opposite side of right triangle.

`\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}`

`\text{tan}(62^(\circ))=(x)/(4)`

`4\cdot \text{tan}(62^(\circ))=(x)/(4)\cdot 4`

`4\cdot (1.880726465346)=x`

`7.522905861384=x`

`x=7.522905861384`

`x\approx 7.52`

Therefore, the value of x is approximately 7.52 units and option 'd' is the correct choice.