Question

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Answer 1

Answer:

x = 39°

Step-by-step explanation:

for right angle triangle ABD

BD^2 = 36 + 64 = 100

BD = 10

use sine law

sin (29) / BD = sin (x)/ DC

sin (29)/ 10 = sin x/ 13

sin x = 13 sin (29)/ 10

Answer 2

First solve for BD:

• a² + b² = c²

• 6² + 8² = BD²

• BD² = 36 + 64

• BD² = 100

• BD = √100

• BD = 10

Then use sine rule:

• sin(A)/a = sin(B)/b

insert values

• sin(29)/10 = sin(x)/13

exchange sides

• sin(x) = 13sin(29)/10

simplify

• sin(x) = 6.302525/10

• sin(x) = 0.63

change side

• x = sin⁻¹(0.63)

• x = 39.06875°

rounded to nearest hundredth

• x = 39.07°