Question

A ladder is leaning against a vertical wall makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. Find the length of ladder (Round to the nearest whole number).
If you choose the 20 degree acute angle, the distance between the foot of the ladder and the wall represents the [Select] leg. Since we are given the [Select] leg and solving for the hypotenuse, we need to use [Select] to solve for the length of the ladder. The length of the ladder when solved is [Select] meters.

Options for blank #1: adjacent, opposite, hypotenuse
Options for blank #2: adjacent, opposite, hypotenuse
Options for blank #3: sine, cosine, tangent
Options for blank #4: 3, 1, 9, 4

Answer 1

The length of the ladder is approximately 3 m. The correct option is the first option 3

Calculating the length of a ladder

From the question, we are to calculate the length of the ladder.

From the given information,

The ladder makes an angle 20° with the ground

and

The foot of the ladder is 3 m from the wall

This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.

Let the length of the ladder be x

Thus,

Using SOH CAH TOA

We can write that

cos 20° = 3 / x

x = 3/(cos 20°)

x = 3.19

x ≈ 3 m
Hence, the length is approximately 3 m

Learn more on Calculating the length of a ladder here: brainly.com/question/8667187

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