Question

How do you determine h?

Answer 1

I got B)

Explanation:

Have a look:

Answer 2

`(B)" "d/(cotalpha+cotbeta)`

Explanation:

`"let " d=x_1+x_2`

`"then from the 2 right triangles"`

`tanalpha=h/x_1" and " tanbeta=h/x_2`

`rArrx_1=h/(tanalpha)" and "x_2=h/(tanbeta)`

`rArrd=h/tanalpha+h/tanbeta`

`color(white)(rArrd)=(htanbeta+htanalpha)/(tanalphatanbeta)=(h(tanbeta+tanalpha))/(tanalphatanbeta)`

`rArrh=(d tanalphatanbeta)/(tanbeta+tanalpha)`

`"divide numerator/denominator by " tanalphatanbeta`

`rArrh=d/(1/tanalpha+1/tanbeta)`

`=d/(cotalpha+cotbeta)`