A triangular neon billboard has an area of 76 square feet. The base of the triangle is 3 feet longer than twice the altitude. (a) Determine the dimensions of the triangular billboard in feet. It is given that the altitude is 8 feet and the base is 19 feet. (b) Determine the length of the altitude of the triangular billboard in yards.

1. Problem Description

A triangular neon billboard has an area of 76 square feet. The base of the triangle is 3 feet longer than twice the altitude.

(a) Determine the dimensions of the triangular billboard in feet. It is given that the altitude is 8 feet and the base is 19 feet.

(b) Determine the length of the altitude of the triangular billboard in yards.

2. Solution Steps

The altitude is given as 8 feet. We need to convert this length from feet to yards.

We know that 1 yard = 3 feet.

So, to convert feet to yards, we divide the length in feet by

3. Altitude in yards = Altitude in feet / 3

Altitude in yards = 8 feet / 3

Altitude in yards = 8/3 yards

3. Final Answer

The length of the altitude of the triangular billboard is 8/3 yards.