Processing math: 100%
Home / Aptitude Tests / Mathematics / From the top of a ve...

From the top of a vertical mast 150m high., two huts on t...

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60° and 45° respectively. Find the distance between the huts

A.

150(1 + 3)m

B.

50( 3 - 3)m

C.

150 3m

D.

503m

Correct answer is B

150Z = tan 60o,

Z = 150tan60o

= 1503

= 503cm

150XxZ = tan45o = 1

X + Z = 150

X = 150 - Z

= 150 - 503

= 50( 3 - 3)m