Question
The angle of elevation of the top of an unfinished tower
at a point distant 78 m from its base is 30°. How much higher must the tower be raised (in m) so that the angle of elevation of the top of the finished tower at the same point will be 60°?Solution
Here, OC = Height of the unfinished tower AC = The height will be the finished tower's height In ΔOBC, tan 30° = OC/BC ⇒ 1/√3 = OC/78 [∵ tan 30° = 1/√3] ⇒ OC = 78/√3 ⇒ OC = (78 × √3)/(√3 × √3) = 26√3 .....(1) Let, the height of the tower will be raised (AO) = x In ΔABC, tan 60° = AC/BC ⇒ √3 = (OC + x)/78 [∵ tan 60° = √3] ⇒ x + OC = 78√3 ⇒ x + 26√3 = 78√3 ⇒ x = 78√3 - 26√3 = 52√3
Fill in the blanks using the correct tenses of the verbs given in brackets and choose the right answer from among the options given below them:
<...Each bite is a burst of flavors _____________ enjoy your snack.
Choose the correct words to fill in the blanks.
One ____ the two elevators ____ the building has been ______ repair _____ nearly two weeks.
University in Allahabad will have an input --------- the project.
The yield has gone up …… this year while prices have fallen by half,……….. heavy losses to the chilli growers.
Choose the most suitable option to fill in the blanks in the sentences below.
I was born and ________ in the highlands.
Even if one remains_____ , it is still not possible to avoid the _____ of ambient heat.
Select the most appropriate option to fill in the blanks.
The Statue of Unity is the world's _______ statue and an iconic landmark of new India.
1) their
2) other
3) there
4) major
5) minor
He will dispense ______ your services.
Relevant for Exams:
