Question

suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, how far are you from the base of the plateau?

Answer 1

We are 114.28 m from the base of the plateau .

Step-by-step explanation:

Here we have , suppose that you are headed toward a plateau 80 meters high. if the angle of elevation to the top of the plateau is 35 degree, WE need to find that how far are you from the base of the plateau . If we see in question , it's clearly a question from application of trigonometry :

We have ,

$Perpendicular = 80 m$

$Base = x$

$Angle = 35 = \alpha$ ( between base & hypotenuse )

It's a right angled triangle , So

$tan\alpha = \frac{Perpendicular}{base}$

⇒ $tan\alpha = \frac{Perpendicular}{base}$

⇒ $tan35 = \frac{80}{x}$

⇒ $x = \frac{80}{tan35}$

$tan35 = 0.7$

⇒ $x = \frac{80}{0.7}$

⇒ $x = 114.28m$

Therefore, We are 114.28 m from the base of the plateau .