Dog in a Ditch
Oscar and Rasheed are identical twins. They are both 6 feet tall. They are on opposite sides of
a ditch that is 30 feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away
from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line
of sight makes a 75° angle below the horizontal. When Rasheed looks at Earl, his line of sight
makes a 40° angle below horizontal. Earl has walked % of the way across the ditch. How deep
is the ditch?

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.

As, both brother have height of 6 feet.

We will use the concept of application of trigonometry to find the depth of ditch.

The explanation is attached below

Now, by solving both equations we get

0.8391y= (2+√3)(30-y)

4.5711y=111.96

y= 24.49 feet.

Now,

x= 14.54 feet.

Hence, the depth of ditch is 14.54 feet.

Learn more about application of Trigonometry here:

https://brainly.com/question/11687813

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