a ladder leans agaisnt a building that is perpendicular to the ground such that it makes a 74 degree angle with the ground and its bottom lies 2.75 feet from the base of the buidling

Gee there's no question there but I guess you want to know
1) How far up the building the ladder goes and
2) the length of the ladder.
tangent (74) = building height / 2.75
building height = 2.75 * 3.4874

9.59035

(the point on the building where the ladder touches the building)

2) cosine (74) = 2.75 / ladder
ladder = 2.75 / 0.27564

9.976781309 (the length of the ladder - about 10 feet)

Answer Link

akposevictor akposevictor · Answer 2 · 2022-04-15T07:28:06-04:00

Using the trigonometry ratios, we have:

1. 9.59 ft

2. 10.0 ft

What is the Trigonometry Ratios?

We can use the following trigonometry ratios when solving for a right triangle:

SOH - sin ∅ = opp/hyp
CAH - cos ∅ = adj/hyp
TOA - tan ∅ = opp/adj.

The building and the ladder makes a right triangle as shown in the image attached below.

x = how high up the building the ladder goes

y = length of the ladder

1. Find x using TOA:

tan 74 = x/2.75

x = tan 74 × 2.75

x = 9.59 ft

2. Find y using CAH:

cos 74 = 2.75/y

y = 2.74/cos 75

y = 10.0 ft

Therefore, using the trigonometry ratios, we have:

1. 9.59 ft

2. 10.0 ft

Learn more about trigonometry ratios on:

https://brainly.com/question/10417664