A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 min for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower? Options: a. 5( √3+ 1 ) b. 6 (√3 +√2) c. 7 (√3- 1) d. 8 (√3-2)

The correct answer is option a.

a. 5( √3+ 1 )

Step-by-step explanation:

Given that the angle changes from 45° to 60° in 10 minutes.

This situation can be represented as right angled triangles ABC (in the starting when angle is 45°)and ABD (after 10 minutes when the angle is 60°).

AB is the tower (A be its top and B be its base).

Now, we need to find the time to be taken to cover the distance D to B.

First of all, let us consider ABC.

Using tangent property:

Using tangent property in ABD:

Now distance traveled in 10 minutes, CD  = BC - BD

Now, we can say that more distance to be traveled to reach the base of tower is BD i.e. ''

So, more time required = Distance left divided by Speed

So, The correct answer is option a.

a. 5( √3+ 1 )

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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