Answer:
John ski down the mountain is 1285.37 feet.
Step-by-step explanation:
Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.
To find : About how far does John ski down the mountain ?
Solution :
We draw a rough image of the question for easier understanding.
Refer the attached figure below.
According to question,
Let AB be the height of mountain i.e. AB=1200 feet
The angle of depression is 21 i.e. [tex]\theta=21^\circ[/tex]
We have to find how far does John ski down the mountain i.e. AC = ?
Using trigonometric,
[tex]\cos\theta = \frac{AB}{AC}[/tex]
[tex]\cos(21)= \frac{1200}{AC}[/tex]
[tex]AC=\frac{1200}{\cos(21)}[/tex]
[tex]AC=1285.37[/tex]
Therefore, John ski down the mountain is 1285.37 feet.
