# Math

A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 30° and the angle elevation of the top of the widow is 35°. Calculate the vertical distance

1. 👍 0
2. 👎 0
3. 👁 122
1. If you want the vertical distance from point A to the bottom of the window you would use the right angled triangle produced by your sketch and find the height using the tangent ratio.
Tan theta = opposite / adjacent
tan30=height/15

Now... if you were actually looking for the distance from the bottom of the window to the top of the window.... it would take a bit more work.
step 1) find the height from A to the bottom of the window (as done above
step 2) use the Pythagorean theorem to find the distance from the bottom of the window to point B
step 3) use the Pythagorean theorem to find the distance from the point B to the top of the window...
step 4) now you have a side angle side triangle and you can use the cosine law to find the distance from the bottom to the top of the window : )

Again... your description in the question was a bit vague and I wasn't sure which distance you were required to find. I would say that if you have already studied the COSINE LAW then it would be the second solution with steps 1-4

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

The point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window

asked by Kid on April 15, 2018
2. ### math

A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 300 and the angle elevation of the top of the widow is 350.

asked by kudu on February 8, 2015
3. ### physics

A swimmer heads directly across a river, swimming at 1.5 m/s relative to the water. She arrives at a point 30 m downstream from the point directly across the river, which is 87 m wide. (c) In what direction should the swimmer head

asked by Danielle on August 9, 2014
4. ### Physics Dynamics

Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 35 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current

asked by Anonymous on February 12, 2015
5. ### Physics

Swimming at 3.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 50 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current

asked by Ryan Tye on June 5, 2016
6. ### physics

a bead on a wire 30m high is released and reaches point A, where is loops twice towards the right. what is the velocity and acceleration at point A-D? point A is at 20m directly below from starting point. Point B is 10m at the

asked by christopher on February 8, 2014
7. ### Physics

A swimmer heads directly across a river, swimming at 1.9 m/s relative to the water. She arrives at a point 50 m downstream from the point directly across the river, which is 79 m wide. (a) What is the speed of the river current?

asked by Jacob on August 1, 2013
8. ### physics

A swimmer heads directly across a river, swimming at 1.2 m/s relative to the water. She arrives at a point 48 m downstream from the point directly across the river, which is 77 m wide. (a) What is the speed of the river current?

asked by Johnathan on September 10, 2014
9. ### Physics

A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 60.0 m downstream from the point directly across the river, 80.0 m wide. What is the speed of the river current? What is

asked by Sara on September 6, 2012
10. ### physics

A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 52.0 m downstream from the point directly across the river, 72.0 m wide. What is the speed of the river current? What is

asked by Ashley on September 11, 2012

More Similar Questions