Question

(50 points) What is the value of x in the triangle?
Enter your answer as a decimal. Round your final answer to the nearest hundredth.

Answer 1

Answer:

x = 23.78 cm to the nearest hundredth

Step-by-step explanation:

In a right-angled triangle:

The opposite "O" is the opposite side to the angle

The adjacent  side "A" is adjacent side to the angle

The hypotenuse "H" is the long side that joins the 2 legs

For this triangle, we have:

angle = 18°

adjacent (A) = x

hypotensue (H) = 25

So we can use the trig formula:  $cos(\theta)=\frac{A}{H}$

Therefore,  $cos(18)=\frac{x}{25}$

Multiply both sides by 25:     25 cos(18) = x

Therefore, x = 23.77841291...

So x = 23.78 cm to the nearest hundredth