# geometry

posted by .

A rectangle is 80 cm long and 20 cm wide. Find, to the nearest degree, the acute angle formed at the intersection of the diagonals.

• geometry -

take one of the right-angled triangles, call the base angle Ø
tanØ = 20/80 = 1/4
Ø = appr. 14.04°

can you take it from there?
I see pairs of isosceles triangles !

## Similar Questions

1. ### geometry

a rectangle is 80 cm long and 20 cm wide. find, to the nearest degree, the acute angle formed at the intersections of the diagonals.
2. ### Geometry

The diagonals of rectangle ABCD are AC and BD. Hallie found that the distances from the point where the diagonals intersects to each vertex were the same. Which of the following conjectures could she make?
3. ### Geometry

The diagonals of a rectangle are 12 inches long and intersect at an angle of 60 degrees. Find the perimeter of the rectangle.
4. ### geometry

the diagonals of a rectangle are 12 inches long and intersect at an angle of 60 degrees. find the perimeter of the rectangle. please help :)
5. ### geometry

the diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle?
6. ### geometry

The diagonals of a rectangle ABCD meet at O. If angle BOC is equal to 44 degree, find angle OAD.
7. ### Geometry

DEFG is a rectangle. H is the intersection point of the two diagonals. DH= 3x – 3 and EG = x + 44. Find the value of x and the length of each diagonal.
8. ### geometry

the diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. find the dimensions of the rectangle
9. ### geometry

A rectangle is 14cm wide and 48 cm long. Find the measures of the acute angle between its diagonals. please help
10. ### Geometry

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the …

More Similar Questions