Question

Physics Question

Answer 1

A woman stands at a horizontal distance x from a mountain and measures the angle of elevation of the mountaintop above the horizontal as theta after walking a distance d closer to the mountain on level ground, she finds that the angle to be phi. find a general equation for the height y of the mountain in terms of d, phi, and theta, neglecting the height of her eyes above the ground

Answer 2

@thushananth01 do u understand it?

Answer 3

Essentially you are solving for height
tan theta = h / x------1
tan phi = h / d -x------2

Make x the subject in the eq(1)
x = h / tan theta
substitute x in eq(3) you should be getting an equation that includes h, phi, thetha and d

Answer 4

correction: equation 2 ---tan phi = h/x-d

Answer 5

ok

Answer 6

so I got h= (-tan(theta)tan(phi)d)/ 1-tan (phi) d