2 answers:
16:30 = 30:x 16x = 900 x = 56.25 so C. is the closest answer this solution is also know as the geometric mean of the altitude of a right triangle to the parts of the hypotenuse.
Answer:
Option C. 56 cm
Step-by-step explanation:
From the diagram attached, in ΔABC
By Pythagoras Theorem,
AB² = AC² + BC²
= 16² + 30²
= 256 +900
AB² = 1156
AB = 34
Now sinA = =
A = sin⁻¹ = 61.93°
From ΔABD
∠A + ∠B + ∠D = 180°
61.93° + 90° + ∠D = 180°
∠D = 180 - 151.93° = 28.07°
Now tan 28.07° = =
0.53328=
CD = = 56.25 cm ≈ 56 cm
Option C. 56 cm is the answer.
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