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A, B & C form the vertices of a triangle, where ∠CAB = 90°.
AB = 10.2 m and AC = 5.6 m.
Evaluate ∠CBA, giving your answer rounded to 3 SF.

Sagot :

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

How to find the angle of a right triangle?

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

learn more on triangle here: brainly.com/question/27701864

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