Question

Find the value of x. Round to the nearest tenth of a unit. Show work.

Answer 1

x=41.2

Explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

Answer 2

x = 41.16

Explanation:

• The value of the top angle in the triangle is equal to 90° - 27° = 63° as they are complementary angles
• To find x, take the tan ratio of the angle
• tan63° = 1.96
• tan63° = x/21
• ⇒ x/21 = 1.96
• ⇒ x = 21 * 1.96
• ⇒ x = 41.16