CHAPTER 8 Angles of Elevation and Depression
21
¡
=
=
=
An observer stands at
, which is at the top of a tower, AC . He sees a
car on the road at
B , which is 60m from C . The angle of depression of
B from
is
°25
. Calculate the height of the tower.
A traffic light is located at
, where CDB is a straight
line. The angle of elevation of
from
is °40 .
Calculate the distance BD .
OPERATION
1
. Calculate the height of the tower using °
25tan60AC .
The height of the tower is approximately 27.98m.
2. To find the distance BD, first determine CD using
CD
AC
=°40tan
.
Therefore,
CD
is approximately 33.34m.
3. The distance of CDBCBD −= .
Hence, the distance BD is approximately 26.66m.
Exam
le 1
60Xtan 25
27.97845949
Ans¡tan 40
33.34342961
60
Ans
26.65657039
60m
A
C
D
25°
B