2. Simplify (2/3)^3 .

8/27.

Step-by-step explanation:

Given expression:

To correctly simplify this expression, you must first understand the role of exponents and base numbers.

The base number is the number being multiplied.

The exponent tells the base number how many times it should be multiplied by itself.

In this case, 2/3 is the base number and 3 is the exponent.

Exponential notations will always be written like this:

Now that we know the roles of the exponent and base number, we can correctly simplify this expression.

Therefore, the value of is 8/27.

1.) Let the distance of the person from the boat be x, then
sin 65 = 15/h
h = 15 / sin 65 = 16.55 ft

2.) No triangle shown

3.) Let the angle of elevation of the sun be x, then
tan x = 35 / 50 = 0.7
x = arctan (0.7) = 34.99