Streets A, B, and C are straight and level, and they intersect to form a triangle. If streets A and B intersect at a 60 degree angle and if street C is perpendi

Streets A, B, and C are straight and level, and they intersect to form a triangle. If streets A and B intersect at a 60 degree angle and if street C is perpendicular to street B, at what acute angle do street A and C intersect?

Streets A, B, and C are straight and level, and they intersect to form a triangle. If streets A and B intersect at a 60 degree angle and if street C is perpendicular to street B, at what acute angle do street A and C intersect? ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Asif al sami

30 degree

45 degree

60 degree

90 degree

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Institution: DUTCH-BANGLA BANK LTD Exam: Dutch-Bangla Bank Ltd - Probationary Officer - 29.07.2011 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

The answer is 30 degrees.

Here's why:

We know streets A and B intersect at a 60-degree angle.
Street C is perpendicular to street B, which means it creates a 90-degree angle with B.
Since the streets form a triangle, the angles inside the triangle must add up to 180 degrees.

Therefore:

Angle A + Angle B + Angle C = 180 degrees

We know Angle B = 60 degrees and Angle C = 90 degrees.

So, Angle A = 180 degrees - Angle B - Angle C = 180 degrees - 60 degrees - 90 degrees = 30 degrees.

Since 30 degrees is less than 90 degrees, it's an acute angle.

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Streets A, B, and C are straight and level, and they intersect to form a triangle. If streets A and B intersect at a 60 degree angle and if street C is perpendicular to street B, at what acute angle do street A and C intersect? ?

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