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

Find The Value Of X Round To The Nearest Tenth Of A Unit Show Work class=

Sagot :

Answer:

x = 41.16

Step-by-step 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

Answer:

x=41.2

Step-by-step 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!!!