Question

The sun is 25 degrees above the horizon. Find the length of a shadow cast by a building that is 100 feet tall

Answer 1

SOH - CAH - TOA

We need to know the shadow length, which is adjacent to the angle we are given. We are also given the height of the building, which is opposite of the angle. Using both of these, we can find the shadow length:

tan 25 = 100/A
A = 100/ tan 25
A = 214.5 ft

Answer 2

The length of a shadow cast by a building that is $100$ feet tall will be $214.45$ .

What is trigonometric height ?

In Trigonometry Height is the measurement of an object in the vertical direction and distance is the measurement of an object from a particular point in the horizontal direction.

We have,

Height of building $=100$

Angle of elevation $(\theta )=25^0$

Let, the length of shadow $=x$

Now,

Using $Tan\theta = \frac{Perpendiculr}{Base}$ of trigonometry;

$Tan\theta = \frac{Height\ of\ building}{Lenght\ of\ shadow}$

$Tan\ 25^0=\frac{100}{x}$

⇒ $x=\frac{100}{Tan\ 25^0}$

$x= 214.45$

Hence, we can say that the length of a shadow cast by a building that is $100$ feet tall will be $214.45$ .

To know more about Trigonometry Height click here

https://brainly.com/question/22969948

#SPJ3