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A ladder leans against a building, making a 70 angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground. To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Respuesta :

mathstudent55
[tex] \tan \theta = \dfrac{opp}{adj} [/tex]

[tex] \tan 70^\circ = \dfrac{39~ft}{x} [/tex]

[tex] x \tan 70^\circ = 39~ft [/tex]

[tex] x = \dfrac{39~ft}{\tan 70^\circ} [/tex]

[tex] x = 14.1948...~ ft [/tex]

[tex] Answer: 14.2~ft [/tex]



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