Answer:
27° (as an integer)
Step-by-step explanation:
From the figure given;
- Triangle BCD is a right triangle;
- We are given the two shorter sides;
DC = 8 units
BC = 4 units
We are required to determine m∠D
We need to use the appropriate trigonometric ratio;
In this case, DC is adjacent and BC is opposite to m∠D
Therefore, the appropriate trigonometric ratio is tangent;
That is;
Tan m∠D = BC ÷ DC
= 4 ÷ 8
= 0.5
Thus;
m∠D = Tan^-1 (0.5)
= 26.57
= 27 (as an integer)
Thus, m∠D is 27°
