If \( a=15 \) yards and \( \angle C=62 \) degrees, what is the measure of \( h \) to the nearest yard? (1 point)

To find the height \( h \), we can use the sine function in a right triangle, where \( h \) is the side opposite \( \angle C \), and \( a \) (the length of the adjacent side) is 15 yards. We use the formula: \[ h = a \cdot \sin(\angle C) \] Plugging in the values: \[ h = 15 \cdot \sin(62^\circ) \] Calculating \( \sin(62^\circ) \) (approximately 0.8746): \[ h \approx 15 \cdot 0.8746 \approx 13.12 \] Rounding \( h \) to the nearest yard gives: \[ h \approx 13 \text{ yards} \] So, the measure of \( h \) to the nearest yard is 13 yards.