Question

Use the figure below to determine the length of sides b and c.

Question 5 options:

b = 5√3, c = 10


b =10, c = 5√3


b = 5√2, c = 10√3


b = 5, c = 10√2

Answer 1

Option A

The value of the length of sides b and c is 5√3 and

10 respectively.

Explanation:

Here, a given figure

Let the ΔABC

m∠B = 90°, m∠C = 30°, AB = 5, BC = b, AC = c

Now,

Sin θ = O/H

Sin 30° = 5/c

1/2 = 5/c

1 × c = 5 × 2

c = 10

Then,

tan θ = O/A

tan 30° = 5/b

1/√3 = 5/b

b × 1 = 5 × √3

b = 5√3

Thus, The value of the length of sides b and c is 5√3 and

10 respectively.

-TheUnknownScientist