Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

I've finished my review package to prepare for a test but I'm not sure if I got the correct answer for this one. Thank you!?

A ladder leaning against a wall forms an angle of 63 degrees with the ground. How far up the wall will the ladder reach if the foot of the ladder is 2 m from the wall?

Update:

1. A ladder leaning against a wall forms an angle of 63 degrees with the ground. How far up the wall will the ladder reach if the foot of the ladder is 2 m from the wall?

2. A radio transmission tower is to be supported by a guy wire. The wire reaches 30m up the tower and is attached to the ground a horizontal distance of 14 m from the base of the tower. What angle does the guy wire form with the ground, to the nearest degree?

3 Answers

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  • 1 month ago
    Best Answer

    1.

    Refer to the diagram below.

    Height that the ladder will reach

    = (2 m) tan63°

    = 3.9 m

    2.

    Refer to the diagram below:

    tanθ = 30/14

    θ = tan⁻¹(30/14)

    Angle that the wire forms with the ground, θ = 65°

    Attachment image
  • 1 month ago

    1).

    A ladder leaning against a wall forms an angle of 63 degrees with the ground.

    The ladder will reach up the wall 3.925 ... m, if the foot of the ladder is 2 m from the wall.

    2).

    A radio transmission tower is to be supported by a guy wire.

    The wire reaches 30 m up the tower and is attached to the ground

    a horizontal distance of 14 m from the base of the tower.

    tan θ = 30/14

    θ = tan⁻¹(30/14)

    Angle that the wire forms with the ground, θ = 65°

  • 1 month ago

    h: How far up the wall

    h/2 = tan 63° so h = 2 tan 63° which I will leave you to solve.

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