Question 10:
A technician needs to climb a ladder to repair a street lamp as shown in Diagram below.
(a) What is the length, in m, of the ladder?
(b) Find the height, in m, of the lamp post.
Solution:
(a)
cos70o=1hh=1cos70oh=10.342h=2.924 mHence, the length of the ladder=2.924 m
(b)
tan70o=T1T=tan70o×1 =2.747×1 =2.747 mThe height of the lamp post=2.747+1.2=3.947 m
A technician needs to climb a ladder to repair a street lamp as shown in Diagram below.
(a) What is the length, in m, of the ladder?
(b) Find the height, in m, of the lamp post.
Solution:
(a)
cos70o=1hh=1cos70oh=10.342h=2.924 mHence, the length of the ladder=2.924 m
(b)
tan70o=T1T=tan70o×1 =2.747×1 =2.747 mThe height of the lamp post=2.747+1.2=3.947 m