6 a The diagonals of a rectangle intersect at 76°
Find the angle that a diagonal makes with a longer side of the rectangle.
b The diagonals of a rectangle intersect at xº.
Find the angle that a diagonal makes with a longer side of the rectangle.

Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.

(a) 680 km

(b) 680000 m

Step-by-step explanation:

(a) Distance run by hunter every day = 6.8 km

Total number of days under consideration = 100

So the total distance covered by the hunter =

= 680 km

The hunter ran 680 km in the last 100 days.

(b) Converting this value to meters:

1 km = 1000 m

=> 680 km = 680 * 1000 m

= 680000 m

The equivalent distance run by the hunter when converted to meters is 680000 meters.