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Eva8 [605]
2 years ago
6

From the top of a vertical pole the angle of depression to Ian standing at the foot of the pole is 43°. Liam is on the other sid

e of the pole, and the angle of depression from the top of the pole to Liam is 52°. The boys are standing 58 m apart. Find the height of the pole, to the nearest meter
Mathematics
2 answers:
kifflom [539]2 years ago
6 0

The height of the pole based on the angle of depression given is 62.2m.

<h3>How to calculate the height?</h3>

From the information given, Liam is on the other side of the pole, and the angle of depression from the top of the pole to Liam is 52° and the boys are standing 58 m apart.

Let the height = h

It should be noted that:

tan = opposite/adjacent

tan 43° = 58/h

tan 43° × h = 58

0.9325  × h = 58

0.9325h = 58

h = 58/0.9325

h = 62.2m

Learn more about angle of depression on:

brainly.com/question/10217662

#SPJ1

Tanya [424]2 years ago
3 0

The height of the pole is 26.94m

<h3>What is angle of depression?</h3>

Angle of depression is the angle between the line of sight and the horizontal.

Analysis:

let the distance from pole to the other guy be x

tan 38 = h/x

Also

tan 47 = h/58- x

(58 - x ) tan47 = xtan 38

(58 - x)(1.072) = 0.78x

62.17 - 1.072x = 0.78x

62.17 = 1.072x+0.78x

1.8x = 62.17

x = 34.54

h = xtan38

h = 34.54(0.78) = 26.94m

In conclusion, the height of pole is 26.94m

Learn more about angle of depression: 10217662

#SPJ1

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