In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Find the angle A.

17°

Step-by-step explanation:

Using trigonometrical ratios we have a triangle with opposite of A° as 7cm and adjacent A° as 24cm as drawn in the above diagram.

Using trigonometry the value to be used is Tangent due to the availability of only the opposite and adjacent sides.

tan = opp/adj

tan x(x is the angle) = 7/24

tan x = 0.2917 ~= 0.3

tan x = 0.3

x = tan^-1 0.3

x = 16.7 ~= 17°.

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