From the top of a storey-buliding, the angle of depression of a mango on a tree 20m away from the base of the storey building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey building to the nearest metre?

Nilanshi

3 years ago

Tan68=Opp/adj
Tan68=x/20
x=20tan68
x=20*2.475
x=49.5
Height=x+4.5
49.5+4.5
=54m

loisfunmi

2 years ago

tan 68 degrees = opposite / 20
where 68 is the angle of depression
and 20m is the distance between the storey building and the mango tree
and opposite is unknown
opposite = 20 × tan 68
opposite = 20 × 2.4750
opposite = 49.5
but the distance from the top of the tree to the bottom of the tree is 4.5m
so 4.5+49.5 will give us the height of the storey building
ANSWER = 54.00m

Olorunleke12

3 years ago

Tan68=Opp/adj
Tan68=x/20
x=20tan68
x=20*2.475
x=49.5
Height=x+4.5
49.5+4.5
=54m

Bright5555555555

1 year ago

there's no explanation no the question

Ebusco04

3 years ago

from the diagram below,
detailed solution is given