Question

From the top of the building a boy with height 1.5 m, sees the top of a tower
at an angle of elevation 60

and the base of the tower with an angle of
depression 30. Height of the building is 8.5 m .

a) Draw a rough figure and mark the measurement

b) Find the distance between building and tower ?

c) Find the height of the tower?​

Answer 1

Answer:

Step-by-step explanation:

REF.Image

AB= 30-1.5=28.5 cm

In ΔABD:−tan30  

∘

=  

BD

AB

​  

 

⇒BD=(28.5)  

3

​  

 

In ΔABC:−tan60  

∘

=  

BC

AB

​  

 

⇒BC=  

3

​  

 

(28.5)

​  

 

CD= BD-BC

=28.5(  

3

​  

−  

3

​  

 

1

​  

)

=28.5(  

3

​  

 

2

​  

)=32.91m

solution