Final answer:
The value of h in the equation h sin 38° = 1.5 is found by dividing 1.5 by sin 38°. Assume sin 38° is 0.6157, then the value of h is approximately 2.44 when rounded to two decimal places.
Step-by-step explanation:
To find the value of h in the equation h sin 38° = 1.5, we need to isolate h. This can be done by dividing both sides of the equation by sin 38°:
h = 1.5 / sin 38°
Using a calculator to determine sin 38° and then dividing 1.5 by that value will give us h. It's important to ensure that the calculator is in degree mode since the angle provided is in degrees.
After performing the calculation, we round the answer to two decimal places as required. Let's assume sin 38° is approximately 0.6157, then:
h = 1.5 / 0.6157 ≈ 2.44
Therefore, the value of h is approximately 2.44 when rounded to two decimal places.