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Sagot :
Answer:
5.79 & 6.89 units
Step-by-step explanation:
Cos(40) =a/h
Cos(40) x 9=a
a=6.89
9^2 - 6.89^2 = a^2
33.5279 =a^2
Square root to get a to be 5.79
the lengths of the other two sides are 5.79 units and 6.89 unit.
Option A) is the correct answer.
What are the lengths of the other two sides?
Given the data in the question;
- Hypotenuse side c = 9
- Angle C = 90°
- Angle A = 40°
- Angle B = 180° - 90° - 40° = 50°
- Length of side a = ?
- Length of side b = ?
To get length of side a, we use the expression;
sinA = Opposite / Hypotenuse
sin40° = a / 9
a = sin40° × 9
a = 0.64278761 × 9
a = 5.79 units
sinB = b / hypotenuse
b = sin( 50° ) × 9
b = 0.766044443 × 9
b = 6.89 unit
Therefore, the lengths of the other two sides are 5.79 units and 6.89 unit.
Option A) is the correct answer.
Learn more about right angle triangles here: https://brainly.com/question/3772264
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