Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.
<h3>What is the Tangent Ratio?</h3>Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).
The information given has been sketched in the diagram attached below.
Find AC using the tangent ratio. Thus, we would have:
tan 29 = AC/CD
Substitute
tan 29 = AC/22
AC = tan 29 × 22 = 12.2 m.
Find BC using the tangent ratio:
tan 42 = BC/DC
Substitute
tan 42 = BC/22
BC = tan 42 × 22 = 19.8 m.
The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.
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