Question

Find the value of x. Round the length to the nearest tenth.

Question 2 options:

17.1 cm

9.8 cm

8.4 cm

6.9 cm

Answer 1

Definition of tangent of a given angle α :

tan( α ) = measure of the opposite side / measure of the adjacent side.

For the given case,

angle α = 35 °

measure of opposite side = x cm

measure of adjacent side = 12 cm

From definition of tangent,

tan(35 ° ) = x/12

Isolate and solve for x:

x=12 tan(35) = 12 * 0.7002 = 8.4 cm