# The tangent of the acute angle of rectangular trapezium is 0.4. Incidentally, its greater base

June 28, 2021 | education

| **The tangent of the acute angle of rectangular trapezium is 0.4. Incidentally, its greater base, if a smaller base is equal to height and equal to 14.**

Given:

ABCD – rectangular trapezium

Angle B = Angle A = 90

CK = AB = BC = 14

TG <D = 0.4

Find: AD-?

Decision:

Ad = ak + kd;

AK = 14.

We find KD from the triangle CKD.

The triangle CKD is rectangular (angle K = 90).

Tangent angle is the attitude of the opposite category to the tangent cathet.

TG <D = CK / KD

KD = CK / TG <d = 14 / 0.4 = 35.

Ad = ak + kd = 14 + 35 = 49.

Answer: ad = 49.

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