Question

a palm tree stands on the bank of a river. a post is fixed in the earth on the other bank, just opposite in the palm tree. on moving 7√3 metres from the post along the bank, it is found that the tree makes an angle of 60° at that point with respect to this bank. then the width of the river is
a. 20 metres
b. 21 metres
c. 22 metres
d. 24 metres​

Answer 1

Answer:

Let the width of the river be AB. A is the position of palm tree and B is the position of the post.

As per question.

if BC = 73–√ m, then ∠ACB=60∘.

Now, from the right-angled triangle ABC, we get,

tan60∘=ABBC

or, 3–√=AB73–√ or, AB=3–√×73–√ or, AB = 21.

Hence the width of the river is 21 metres.

Step-by-step explanation:

Answer 2

Answer:

Use the identity,

 

 

Step 1 of 2

Take the left hand side of the equation.

 

 

Step 2 of 2

Solve the equation further.

It becomes,

Step-by-step explanation: