Each face of a pyramid is an isosceles triangle with a 76 degree vertex angle. what are the measures of the base angles?

The sum of interior angles is 180°.
If you know that the vertex angle is 76° and the other two angles are equal, then subtract 76 from 180 which gives you 104. Then divide 104 by 2 to get the measure of your base angles.

The height of the pennant is 3 feet.

Step-by-step explanation:

The pennant has a triangular shape, therefore the area of the pennant is given by the following formula:

area = (1/2)*b*h

Since we were given the value for the area, which is 2.25 square feet, and the value for the base, which is 1.5 feet, we can solve for the height of the triangle. Applying this data for the formula:

2.25 = (1/2)*1.5*h

2.25 = 0.75*h

0.75*h = 2.25

h =2.25 / 0.75

h = 3 feet

The height of the pennant is 3 feet.