Can you please help with this trig question:

The angle of elevation to the top of a nearby mountain is 46 degrees. After walking 1 km toward the mountain, you determine the angle of elevation to be 68 degrees. How high is the mountain?

Thank you for all your help.

1 answer

as usual draw a diagram. If the height is x, then from distance x,

x/h = cotθ

so,

h cot 48° - h cot 68° = 1