Question

Whats the missing length?

Answer 1

11.7

Explanation:

a = 1/2bh

93.6 = 1/2(16)h

93.6 = 8h Divide both sides by 8

11.7 = h

Answer 2

`c= 11.7 \text{ mi}`

Explanation:

To solve for c, we can construct an equation using the triangle area formula.

`\text{area} = (1)/(2) * \text{base} * \text{height}`

↓ plugging in the given measurements

`\text{base} = 16 \text{ mi}`
`\text{area} = 93.6 \text{ mi}^2`

`93.6 \text{ mi}^2 = (1)/(2) * 16 \text{ mi} * \text{height}`

↓ replacing height with c

`93.6 \text{ mi}^2 = (1)/(2) * 16 \text{ mi} * c`

↓ executing multiplication

`93.6 \text{ mi}^2 = 8 \text{ mi} * c`

↓ dividing both sides by 8 mi

`\frac{93.6 \text{ mi}^2}{8 \text{ mi}} = \frac{8\text{ mi} * c}{8 \text{ mi}}`

`11.7 \text{ mi} = c`