Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6) find the missing side. round to the nearest tenth. 9.6 9.5 9.4 9.3

Question

6)
find the missing side. round to the nearest tenth.
9.6
9.5
9.4
9.3

Explanation:

Step1: Identify sides/angle

Right triangle: hypotenuse=18, angle=58°, x=adjacent side.

Step2: Use cosine formula

$\cos(58^\circ)=\frac{x}{18}$

Step3: Solve for x

$x=18\times\cos(58^\circ)$

Step4: Calculate value

$\cos(58^\circ)\approx0.5299$, $x\approx18\times0.5299\approx9.5382\approx9.5$

Answer:

9.5