Question

While paddling a canoe up the river, Jan saw some beautiful flowers along the river bank. The canoe is 35 yards lower than the flowers. The distance from the canoe to the flowers is 225 yards. What is the angle of elevation? Question 2 options: 81.1° 8.8° 8.9° 81.2°

Answer 1

8.9

Explanation:

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Answer 2

Hello!

The answer is:

The angle of elevation is 81.1°

Why?

To solve the problem, we need to use the following trigonometric relation:

`Cos(\alpha)=(x)/(hypotenuse)`

Let be "x" the vertical distance, we know that the canoe is 35 yards lower than the flowers.

Let be "hypotenuse" the distance from the canoe to the flowers, it is 225 yards.

So, calculating we have:

`Cos(\alpha)=(y)/(x)\\\\Cos(\alpha)=(35)/(225)\\\\\alpha=Cos((35)/(225))^(-1)\\\\\alpha=81.05\°=81.1\°`

We have that the angle of elevation is 81.1°

Have a nice day!