The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is the ladder (round to the nearest meter)? A)33 meters B) 34 meters C) 39 metersD) 40 meters

Distance from the building where the fireman is standing = 25 m due yo the west pointed angle of elevation of the ladder = 51 degrees You then aquire the length of the ladder equals...
x ThenCos 51 degree = 25/x0.6293
= 25/xx = 25/0.6293 = 39.72 meters≈40 meters from the above deduction, so the correct answer is D, because it is the closest, and that it is correct.

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vintechnology vintechnology · Answer 2 · 2021-11-19T11:20:35+01:00

The ladder is approximately 40 meters long to the nearest tenth.

The information will form a right angle triangle.

The base of the ladder 25 meters due west of the burning building is the base(adjacent side) of the triangle formed.

How long is the ladder describe the hypotenuse of the triangle formed.

Therefore, using trigonometric ratio we can find the length of the ladder as follows:

cos 51 = adjacent / hypotenuse

cos 51 = 25 / hypotenuse

hypotenuse = 25 / cos 51°

hypotenuse = 25 / 0.62932039105

hypotenuse = 39.7253932266 meters

hypotenuse ≈ 40 meters

Therefore, the ladder is approximately 40 meters long to the nearest tenth

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