Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
-- #34 is choice-C .
-- See the picture attached to this answer, for both solutions.
Answer:
Step-by-step explanation:
y = 2x - 1
y = x - 8 ------ (i)
substitute y = 2x - 1 in equation (i)
2x - 1 = x - 8
2x = x - 8 + 1
2x = x - 7
2x - x = -7
x = -7
Substitute x value in equation (i)
y = -7 - 8
y = -15