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Trigonometry
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 120 m, the distance between the objects is:
1] 50.7 m 2] 63.4 m 3] 86.7 m 4] 90 m
Read Solution (Total 3)
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- Let, the distance of the object from the top of the tower @ 45 degrees is "a". and let the distance of the object 2 from the top of tower @ 60 degrees be "b". therefore, tan45 = a/120 => a = 120
tan60 = (a+b)/120 => (3)^1/2 = (a+b)/120 => b = 87.6 m Hence, i would like to go with Option 3 as the values are very close to each other. - 6 years agoHelpfull: Yes(1) No(0)
- Here the answer is option no 1
- 5 years agoHelpfull: Yes(0) No(0)
- tan60=120/y=69.28
tan45=120/x+y=120-69.28
=50.72 - 5 years agoHelpfull: Yes(0) No(0)
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