A 26-foot long ladder is leaning against a building at a 60 degree angle with the ground. Which of the following equations can y

Question

3 years ago

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A 26-foot long ladder is leaning against a building at a 60 degree angle with the ground. Which of the following equations can y

ou use to find the height of the building, h? What is the approximate height of the building? Round to the nearest tenth of a foot. feet

Mathematics

2 answers:

Sati [7] · Answer 1 · 2022-01-17T10:08:22+03:00

Answer:

22.5 feet (to the nearest tenth).

Step-by-step explanation:

The equations have not been given but still the question can be solved. The ladder lying with a building makes a right angled triangle, in which the ladder is the hypotenuse, the building is the perpendicular, and the ground is the base. The length of the ladder (hypotenuse) is 26 feet and the angle with the ground is 60 degrees. The required length to be found is the length of the building (perpendicular). So the following formula will be used:

sin θ = Perpendicular/Hypotenuse.

Substituting in the equation gives:

sin60 = p/26.

p = 26*sin60.

p = 22.5 (to the nearest tenth).

The approximate height of the building is 22.5 feet!!!