Answer:[tex]y=\frac{d\times tan\phi\times tan\theta}{tan\phi-tan\theta}[/tex]
Explanation;
In ABC=
[tex]Tan\theta=\frac{y}{x}[/tex]
[tex]x=\frac{y}{tan\theta}[/tex]
In ADC
[tex]Tan\phi=\frac{y}{x-d}[/tex]
Using value of x from (1) in (2) , we get:
[tex]y=\frac{d\times tan\phi\times tan\theta}{tan\phi-tan\theta}[/tex]
General equation for the height y of the mountain in terms of d, ϕ, and θ.
[tex]y=\frac{d\times tan\phi\times tan\theta}{tan\phi-tan\theta}[/tex]
