Question

Solve for y. Round to the nearest degree.
A. 48°
B. 50°
C. 53°
D. 55°

Answer 1

The angle of elevation (θ) of the sun is approximately 49^circ (rounded to the nearest degree).

The correct answer is: A) 48circ

Step-by-step explanation:

The angle of elevation θ can be found using the tangent function:

tan(θ) = height / shadow

Given the tree's height is 84 feet and the shadow length is 71 feet:

tan(θ) = {84} / {71}

Now, solve for (θ):

θ = arctan {84} / {71}

Using a calculator, you can find the approximate value of θ and then round it to the nearest degree.

Let's calculate:

θ ≈ arctan {84} / {71}

θ ≈ 48.76^circ

Rounded to the nearest degree, the angle of elevation is 49^circ.

So, the correct answer is:

A) 48circ