Use △DEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Question

Mathematics

Taylor Donaldson

10 November, 12:40

Use △DEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

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Answers (1)

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Aubrey · Answer 1

Since we have a triangle,

From sine rule we have, that,

a/sin A = b/sin B.

A = sine 90,

a = 55,

B = sine 49,

b = ?

55/sine 90 = ?/sine 49.

55 = ?/0.75

? = 55x 0.75 = 41.50. = 42.