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An extension ladder leans against a building, making a 75° angle of elevation with the ground. The base of the ladder is 8 ft from the base of the building.
To the nearest tenth of a foot, how long is the ladder? (100 pt)

Respuesta :

wegnerkolmp2741o

Answer:

30.9 ft

Step-by-step explanation:

We want to find the hypotenuse ( the length of the ladder).  The x distance is 8 and the angle between them is 75 degrees ( the angle of elevation)

Since this is a right angle, we can use trig functions

cos  Theta = adj / hypotenuse

cos 75 = 8/ h

h cos 75 = 8

h = 8/ cos 75

h =30.90962644

Rounding to the nearest tenth

h = 30.9

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