Question

Which of the following represents the ratio of the hypotenuse to the short leg
for the triangle shown below?
30°
A. 1:2
B. 3:1
C. 1:13
D. 2:1​

Answer 1

Refer to the attached image ❤️

Answer 2

Solution :-

we know that,

• Sides opposite to small angle is smaller in length .

given that,

→ angle opposite to perpendicular = 60°

so,

→ angle opposite to base = 180° - (90° + 60°) = 180° - 150° = 30° .

we can conclude that,

• Base = smallest side.
• Hypotenuse = Highest side.

then,

→ sin 30° = Base / hypotenuse .

→ (1/2) = Base / hypotenuse .

therefore,

→ Hypotenuse : Base = 2 : 1 (D) (Ans.)

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