Question

If a 15 yards and ∠C= 62 degrees, what is the measure of h to the nearest yard? < (1 point) 28 yards 16 yards 7 yards 13 yards

Answer 1

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**.