Mathematics
11.02.2020 18:24
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A surveyor measured the angle of elevation of a flat spire as 15 degree from a point

A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
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cuhh
cuhh
4,7(49 marks)

11.28m

Step-by-step explanation:

The computation of the height of the spire is shown below:

let us assume the height of the spire be x

Now

For triangle ABD

Tan 43 degrees = h ÷ x

x = h × cot 43 degrees

= 1.07236 h

For triangle ABC

tan 15 degrees = h ÷ (30 + x)

0.2679 = h ÷ 30 + 1.07236h

8.038 + 0.28728 h = h

h = 11.28m

edog32
edog32
4,4(18 marks)

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Step-by-step explanation:

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