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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​

Respuesta :

mathstudent55

Answer:

10.21 m

Step-by-step 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.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin 36^\circ = \dfrac{6~m}{L} [/tex]

[tex] L = \dfrac{6~m}{\sin 36^\circ} [/tex]

[tex] L = 10.21~m[/tex]

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