JEE Main & Advanced
Mathematics
Triangles & Properties of Triangle
Question Bank
Self Evaluation Test - Properties of Triangles and Height & Dstances
question_answer
From an aeroplane above a straight road the angle of depression of two positions at a distance 20 m apart on the road are observed to be \[30{}^\circ \] and \[45{}^\circ \]. The height of the aeroplane above the ground is:
A)\[10\sqrt{3}\,m\]
B)\[10(\sqrt{3}-1)m\]
C)\[10(\sqrt{3}+1)m\]
D) 20 m
Correct Answer:
C
Solution :
[c]
In \[\Delta ABC,\tan 45{}^\circ =\frac{AB}{BC}=\frac{h}{x};1=\frac{h}{x}\]