Question

The bottom of a ladder rests on the ground and the top of the ladder rests against a wall.

The ladder forms a 58° angle with the ground and the top of the ladder is positioned 9
meters up the wall. Which is the exact measure of the ladder in meters?

Answer 1

Measure of ladder is 11 m

Explanation:

Here, we want to calculate the length of the ladder

From the description in the question, we have a right angled triangle with the length of the ladder forming the hypotenuse, which is the longest side of the triangle

So the height at which the top of the ladder is from the ground is 9 m

Thus mathematically;

we use the sine trigonometric tattoo to get the length of the ladder

sine = length of opposite/length of hypotenuse

sine 58 = 9/h

h = 9/sin 58

h = 10.612 meters

which to the nearest integer is 11 m