Knowee
Questions
Features
Study Tools

Select the correct answerPoint A is 30 m to the south of point B. Point C is 20 m to the east of Point A. Point D is 15m to the south of point C. Point D is exactly midway between point E and F in such a manner that Point E, D and F form a Horizontal straight line of 40 m. Point E is to the west of Point D .How far and in which direction is point E from point B?Options45 m towards south45m towards North30 m towards west35 m towards south

Question

Select the correct answerPoint A is 30 m to the south of point B. Point C is 20 m to the east of Point A. Point D is 15m to the south of point C. Point D is exactly midway between point E and F in such a manner that Point E, D and F form a Horizontal straight line of 40 m. Point E is to the west of Point D .How far and in which direction is point E from point B?Options45 m towards south45m towards North30 m towards west35 m towards south

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The correct answer is 45 m towards South.

Here's the step by step solution:

  1. Point A is 30 m to the south of point B. So, the distance between point A and B is 30 m.

  2. Point C is 20 m to the east of Point A. So, the distance between point A and C is 20 m.

  3. Point D is 15 m to the south of point C. So, the distance between point C and D is 15 m.

  4. Point D is exactly midway between point E and F. So, the distance between point D and E is 20 m (half of 40 m).

  5. Point E is to the west of Point D. So, the direction from point D to E is west.

  6. To find the distance between point B and E, we need to add the distances between point B and A, A and C, C and D, and D and E. So, the total distance is 30 m + 20 m + 15 m + 20 m = 85 m.

  7. However, the direction from point B to E is not a straight line. It involves moving south, then east, then south again, and finally west. So, we need to calculate the straight line distance from point B to E.

  8. This can be done using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

  9. In this case, one side of the triangle is the total distance moved south (30 m + 15 m = 45 m), and the other side is the total distance moved east (20 m). So, the straight line distance from point B to E is sqrt((45 m)^2 + (20 m)^2) = 45 m.

  10. The direction from point B to E is the same as the direction from point B to A, which is south. So, the direction from point B to E is south.

Therefore, point E is 45 m to the south of point B.

This problem has been solved

Similar Questions

Select the correct answerPoint P is 40 m to the south of Point Q. Point R is 20 m to the east of Point P. Point S is 10 m to the south of Point R. Point S is exactly midway between Point T and Point U in such a manner that Point T,S and U form horizontal straight line of 40 m .Point T is to the west of Point S .How far and in which direction is Point T from Point Q?Options50 m towards North10 m towards North50 m towards south10 m towards south

Select the correct answerPoint B is 12 m south of point A. Point C is 24 m east of Point B. Point D is 8 m south of point C. Point D is 12m east of Point E and F is 8m north of point E.If a man is standing facing north at point C, how far and in which direction is point F?Options24 m east12 m westNone12 m east

Select the correct answerPoint Q is 10 m to west of point R .Point R is 5m to the north of point S. Point S is 10 m to east of point T. Point T is exactly midway between points A and B in such a manner that Point A. T and B form a vertical straight line of 16m .Point B is to the south of point A.Which of the following points is exactly 3m away from point Q?OptionsOnly RBoth A and TOnly TOnly A

Select the correct answerPoint A is 3km north of the point B. Point C is 6 km east of point B.Point D is 2km south of point C. Point E is 3km west of point D.Point F is 5km north of point E point G is 3km west of point C.A man walks 20 m towards South. Then turning to his right, he walks 30 m. Then turning to his left, he walks 20 m.Again, turning to his left, he walks 30 m. Howfar is he from his starting position?Options80 m30 m60 m40 m

Select the correct answerA person starts walking from his home towards the market. He walks for 40m towards south. He takes 90 degrees right turn and walks for 10 m. Again,taking 90 degreesturn, he walks for another 20m. He then walks for 35m after taking a 90-degree right turn. Turning 90 degrees towards his left he walks for 20m to reach the market. How far and in which direction is the market from his home?Options25 m towards east20 m towards east20 m towards west25 m towards south

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.