Sure, let's solve the equation step-by-step:
Given the equation:
[tex]\[ h \sin 38^\circ=1.5 \][/tex]
To find [tex]\( h \)[/tex], we need to isolate [tex]\( h \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by [tex]\( \sin 38^\circ \)[/tex]:
[tex]\[ h = \frac{1.5}{\sin 38^\circ} \][/tex]
First, let's determine the value of [tex]\( \sin 38^\circ \)[/tex]. The sine of 38 degrees is:
[tex]\[ \sin 38^\circ \approx 0.6156614753256583 \][/tex]
Now, substitute this value into the equation:
[tex]\[ h = \frac{1.5}{0.6156614753256583} \][/tex]
Perform the division:
[tex]\[ h \approx 2.436403868224116 \][/tex]
To give the answer to two decimal places, we round 2.436403868224116 to two decimal places:
[tex]\[ h \approx 2.44 \][/tex]
Therefore, the value of [tex]\( h \)[/tex] is approximately [tex]\( 2.44 \)[/tex].
