Question

Solve for x. Round your answer to the nearest tenth (0.1)

Answer 1

`x\approx 7.0`

Explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

`\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}`

Substitute:

`\displaystyle \tan(35^\circ)=(x)/(10)`

Solve for x:

`x=10\tan(35^\circ)`

Use a calculator:

`x=7.0020...\approx 7.0`

Answer 2

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards