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A communication tower is built on the slope of a hill. A surveyor, 50m uphill from
the base of the tower, measures an angle of 50 between the ground and the top
of the tower. The angle from the top of the tower to the surveyor is 60°.
Calculate the height of the tower to the nearest metre. [A2]
А
60
tower
50
O surveyor
50 m
B

A communication tower is built on the slope of a hill A surveyor 50m uphill from the base of the tower measures an angle of 50 between the ground and the top of class=

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Answer:

Step-by-step explanation:

a

The height of the tower is 44.23 meters after applying the sin law in a provided triangle.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

A communication tower is built on the slope of a hill.

A surveyor, 50m uphill from the base of the tower, measures an angle of 50 between the ground and the top of the tower.

Applying sin law:

sin50/AB = sin60/50

AB is the height of the tower.

sin50/AB = 0.0173

AB = 44.227 ≈ 44.23 meters

Thus, the height of the tower is 44.23 meters after applying the sin law in a provided triangle.

Learn more about trigonometry here:

brainly.com/question/26719838

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