Question

analyze the diagram below and complete the instructions that follow.
find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed.
a. 19.5
b. 56.8
c. 112.2
d. 165.5
please select the best answer from the choices provided.
a
b
c

Explanation:

Step1: Calculate triangle area

$\text{Area} = \frac{1}{2} \times 60 \times 175 = 5250$

Step2: Set altitude to hypotenuse as $h$

$\text{Area} = \frac{1}{2} \times 185 \times h$

Step3: Solve for $h$

$5250 = \frac{1}{2} \times 185 \times h$
$h = \frac{2 \times 5250}{185} \approx 56.8$

Answer:

B. 56.8