Question

A ladder rest against a vertical wall .if the top of the ladder is 6m from the foot of the wall and the ladder makes 36° with the ground find the length of the ladder​

Answer 1

10.21 m

Explanation:

|\

| \

| \ L

6 m | \

| \

| 36 deg \

|-------------------------\

For the 36-deg angle, 6 m is the opposite leg. L is the hypotenuse. The trig ratio that relates the opposite leg to the hypotenuse is the sine.

`\sin A = (opp)/(hyp)`

`\sin 36^\circ = (6~m)/(L)`

`L = (6~m)/(\sin 36^\circ)`

`L = 10.21~m`