Question

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

Answer 1

Answer:

$x\approx 7.0$

Step-by-step 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:

$\displaystyle \tan(35^\circ)=\frac{x}{10}$

Solve for x:

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

Use a calculator:

$x=7.0020...\approx 7.0$

Answer 2

x=7yd

Answer:

relationship between perpendicular and base is given by tan angle

tan35=p/b

tan35=x/10

x=tan35×10=7yd