# 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?

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

- 冷眼旁觀Lv 61 month agoBest 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°

- KrishnamurthyLv 71 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°

- Φ² = Φ+1Lv 71 month ago
h: How far up the wall

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