Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under $20 \mathrm{ft}^{2}$ to adhere to zoning laws. If the base of the sign is $10 \mathrm{ft}$, what is the maximum height of the triangular sign?
A) $4.0 \mathrm{ft}$
B) $1.000 \mathrm{ft}$
C) $2.00 \mathrm{ft}$
D) $30 \mathrm{ft}$

Question

Quizplus · Accepted Answer

The area of a triangle is given by $ \frac{1}{2} \times \text{base} \times \text{height} $. To find the maximum height allowed for the sign, we set the area to $20 \mathrm{ft}^{2}$ and the base to $10 \mathrm{ft}$, resulting in $20 = \frac{1}{2} \times 10 \times \text{height}$, which simplifies to $ \text{height} = 4 \mathrm{ft}$.

Solve the Problem 20ft220 \mathrm{ft}^{2}20ft2 To Adhere to Zoning Laws 10ft10 \mathrm{ft}10ft

Solve the Problem $20 \mathrm{ft}^{2}$ To Adhere to Zoning Laws $10 \mathrm{ft}$