Answer:
14 feet
Step-by-step explanation:
To find the height of the triangular garden, we can use the formula for the area of a triangle:
[tex]\large\boxed{\boxed{\sf \textsf{Area} = \dfrac{1}{2} \times \textsf{base} \times \textsf{height}}} [/tex]
Given that the area is 112 square feet and the base is 16 feet, we can plug these values into the formula to solve for the height:
[tex]\sf 112 = \dfrac{1}{2} \times 16 \times \textsf{height} [/tex]
First, multiply 16 by 0.5:
[tex]\sf 112 = 8 \times \textsf{height} [/tex]
Then divide both sides by 8 to solve for the height:
[tex]\sf \textsf{height} = \dfrac{112}{8} [/tex]
[tex]\sf \textsf{height} = 14 \textsf{ feet} [/tex]
So, the height of the garden is 14 feet.
