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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.