Bot GPT 4-o mini To solve for the height \( h \) in a right triangle where you have one side (15 yards) and an angle (∠C = 62 degrees), we can use the sine function. Assuming that the 15 yards is the length of the side adjacent to angle C, the height can be calculated as follows:
\[ \sin(C) = \frac{h}{\text{hypotenuse}} \]
If we assume that the 15 yards is the hypotenuse, then:
\[ h = \text{hypotenuse} \cdot \sin(C) = 15 \cdot \sin(62^\circ) \]
Using a calculator, we find that:
\[ \sin(62^\circ) \approx 0.880 \]
Now plug in the values:
\[ h = 15 \cdot 0.880 \approx 13.20 , \text{yards} \]
Rounding to the nearest yard, we get:
\[ h \approx 13 , \text{yards} \]
Thus, the measure of \( h \) to the nearest yard is 13 yards.
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