BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . Towns A and C are connected by a straight highway which is 60 miles long. The straight-line distance between town A and town B is 50 miles, and the straight-line distance from town B to town C is 50 miles. How many miles is it from town B to the point on the highway connecting towns A and C which is closest to town B?

A. 30
B. 40
C. 50
D. 60
D. None of these

View Answer

Discuss in Forum

Workspace

Report

Answer: Option A

Explanation:

We have towns A, B, and C, with a straight highway connecting towns A and C, which is 60 miles long. The straight-line distance from A to B is 50 miles, and the straight-line distance from B to C is 50 miles.

The highway connecting A and C can be thought of as the hypotenuse of a right triangle, where the legs of the triangle are the distances from A to B and from B to the point on the highway (let's call it point D).

The triangle formed by points A, B, and D is similar to the triangle formed by points A, B, and C because they share the same angles. This is because vertical angles (formed by the highway and the straight-line distances) are congruent.

We can set up a proportion to find the distance from B to D:

BD/BC = AB/AC
Substituting the given values:

BD/60 = 50/100 (50 miles is half of 100 miles)

Now, solving for BD:

BD = 30 miles

So, the distance from town B to the point on the highway connecting towns A and C, which is closest to town B, is 30 miles.

বাংলাদেশ বনশিল্প উন্নয়ন কর্পোরেশন সহকারী ব্যবস্থাপক-০২.০৮.২০১৩

প্রিমিয়াম প্ল্যান: ৩ মাস

199 ৳

৯০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক