SOLUTION: The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of the ladder is 42 ft from the base of the wall. How

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Question 768488: The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of the ladder is 42 ft from the base of the wall. How long is the ladder? Round your answer to the nearest whole number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder wall and the ground form a right triangle. The ladder is the hypotenuse
Angle = 35 deg
distance on ground = 42 feet
Cos %28theta%29=+base+%2F+hypotenuse
cos 35 = 42/hypotenuse
hypotenuse = 42/ cos35
=42/0.819
51.3 feet is the length of the ladder