PLEASE HELP I CAN’T SEE THE TRIANGLE WELL

We need to calculate the height of the 6mi by 8mi  by 10mi triangle.  In order to do this we first must calculate its area.

To calculate the area we need to use Heron's formula.

We then learn that the area is 24.

Since triangle area = .5 * base * height

then height = 2 * area / base

height = 2 * 24 / 10

height = 4.8

Triang Prism Surface area = 2 * Triangle Area + height * (a + b + c)

Triang Prism Surface area = 2 * 24 + 4.8 * (6 + 8 + 10)

Triang Prism Surface area = 48 + 4.8 * 24

Triang Prism Surface area = 163.2

Step-by-step explanation:

The distance to the top of the balloon is approximately 33.977 meters

Step-by-step explanation:

The (horizontal) distance from the hot air balloon from the observer, l = 30 m

The angle of elevation to the top of the balloon, θ = 28°

With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;

d = The hypotenuse side

l = The leg adjacent to the reference (given) angle,

h = The leg opposite to the given angle, θ

By trigonometric ratios, we have;

From which we get;

The distance to the top of the balloon, d ≈ 33.977 m