Find the Height H of the Ironing Board Shown in the Illustration

Multiple Choice

Find the height h of the ironing board shown in the illustration. Find the exact answer. Then give an approximation to two decimal places.

A) 38 in
B) $19 \sqrt { 3 } \text { in } \approx 32.91 \text { in }$
C) 30 in
D) 20 in
E) $19 \sqrt { 2 } \text { in } \approx 26.87 \text { in }$