Answer:
approximately h ≈ 3.5163 cm
Step-by-step explanation:
To find the value of "h", we can use trigonometry
first identify the sides of the triangle. In this case, we have the hypotenuse (the side opposite the right angle) and the angle opposite "h".
then recall the trigonometric ratios. The sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the hypotenuse. In this case, sin(23°) = h/9cm.
next rearrange the equation to solve for "h". Multiply both sides of the equation by 9cm to isolate "h". This gives us h = 9cm * sin(23°).
then use a calculator to find the value of sin(23°). Plugging this value into the equation, we get h ≈ 9cm * 0.3907.
then calculate the value of "h" by multiplying 9cm by 0.3907. This gives us
h ≈ 3.5163 cm
:)
