A vertical towers stands on horizontal plane and is surmounted by a vertical flag-staff of height of 6m.at a point on a ground the angle of elevation of the bottom and top of the flag-staff are 300 and 450 respectively. Find the height of the tower.
please give step by step explaination............................
Answers
Answer:
A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7 m. From a point on the plane, the angle of elevation of the bottom of the flag-staff is 30∘ and that of the top of the flag-staff is 45∘. Find the height of the tower.
Step-by-step explanation:
⇒ In △CBD,tan30
o
=
BC
BD
⇒
3
1
=
x
h
⇒ x=
3
h ----- ( 1 )
⇒ In△ABC,tan45
o
=
BC
AB
⇒ 1=
x
7+h
⇒ x=7+h
⇒
3
h=7+h
⇒
3
h−h=7
⇒ (
3
−1)h=7
⇒ h=
3
−1
7
⇒ h=
3 −173 +13 +1
∴ h= 3−1
7( 3 +1)
=
2
7(1.73+1)
=9.55m
∴ Height of the tower is 9.55m.
Answer:
A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7 m. From a point on the plane, the angle of elevation of the bottom of the flag-staff is 30∘ and that of the top of the flag-staff is 45∘. Find the height of the tower.
Step-by-step explanation: