A30-meter high building sits on top of a hill. the angles of elevation of the top and bottom of the building from the same spot at the base of the hill are measured to be 55 degrees and 50 degrees. how high is the hill to the nearest meter?

Explanation:

According to the given data, we can draw a figure (Please refer the attachment below)

Building's height = 30 meter

Angle of elevation from a spot to the top of the building = 55 degrees

Angle of elevation from the spot to the top of the building = 50 degrees

To find the height of the hill, we need to use the formula,

then,

  .... (1)

Similarly,

  .... (2)

(1) = (2) becomes

[tex]\Rightarrow [tex] 1.428h  = (30 + h)1.192

1.428h  =  35.76 + 1.192h

1.428h - 1.192h = 35.76

0.236h = 35.76

h = 151.52 meter

Therefore, the hill highs 151.52 meter.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square