9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
The easiest way to remember is you can draw the graph without picking up your pencil.
When x=0, y=4...
Therefore:
4=a*b⁰
b⁰=1, so a=4.
----------
When x=1, y=2...
Therefore:
2=4*b¹
4b=2
b=2/4
So... b=1/2.
This means that:
y=4*((1/2)^x)
