A 35-foot long ladder is leaning against the wall of a building.How far from the ground is the top of the ladder and how far from the base of the building is its foot if it makes a 20 degrees angle with the wall?

check the related questions below

The related questions have the answer to help you. ☺♦☻

Use SOH, CAH, TOA

which is Sin20 = opposite/adjacent, Cos20 = adjacent/hypotenuse, Tan 20 = opposite/adjacent

To find the distance from the ground to the top of the ladder and the distance from the base of the building to the foot of the ladder, we can use trigonometric functions.

Let's label the distance from the ground to the top of the ladder as 'h' and the distance from the base of the building to the foot of the ladder as 'd'. We can use the trigonometric function sine (sin) to find 'h' and cosine (cos) to find 'd'.

We know that the ladder makes a 20-degree angle with the wall, so we can use the following trigonometric equations:

sin(20 degrees) = h/35 feet
cos(20 degrees) = d/35 feet

Now, let's solve for 'h' and 'd'.

Using a scientific calculator, we can calculate that sin(20 degrees) ≈ 0.342 and cos(20 degrees) ≈ 0.939.

So, we have:
0.342 = h/35
h = 0.342 * 35
h ≈ 11.97 feet (rounded to two decimal places)

0.939 = d/35
d = 0.939 * 35
d ≈ 32.87 feet (rounded to two decimal places)

Therefore, the top of the ladder is approximately 11.97 feet from the ground, and the foot of the ladder is approximately 32.87 feet from the base of the building.