Question

A 107-ft-tall building casts a shadow of 90 ft. To the nearest whole degree,
What is the angle of elevation to the sun?

Answer 1

The angle of elevation to the sun is mathematically given as

$\theta=49.93$

What is the angle of elevation to the sun?

Question Parameters:

A 107-ft-tall building casts a shadow of 90 ft.

Generally, the equation for the Trigonometry  is mathematically given as

$tan\theta=\frac{opp}{adj}$

Therefore

$\theta=tan^{-1}\frac{107}{90}$

$\theta=49.93$

In conclusion,  the angle of elevation to the sun is

$\theta=49.93$

Read more about Arithmetic

https://brainly.com/question/22568180

Answer 2

Using the slope concept, it is found that the angle of elevation to the sun is of 40º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the vertical change is of 107 ft, while the horizontal change is of 90 ft, hence:

$\tan{\alpha} = \frac{90}{107}$

$\alpha = \tan^{-1}{\left(\frac{90}{107}\right)}$

$\alpha = 40^\circ$

The angle of elevation to the sun is of 40º.

More can be learned about  the slope concept at https://brainly.com/question/18090623