Question

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

Answer 1

i am not sure but i think its 7.1cm

Answer 2

x = 9.2 cm

Explanation:

We can use a trigonometric relation in order to find the correct answer. In this case, since we know the opposite side to the angle and we want to know the adjacent side, the most convenient function is the tangent:

tan(40°) = opposite/adjacent or opposite = tan(40°)*adjacent

Substituting the adjacent side value and the tan(40°), we get:

x = 0.839 * (11 cm) = 9.229 cm (approximately 9.2 cm)

Therefore, the answer is 9.2 cm.