Find the value of the length
x
rounded to 1 DP.

Length of x is 98.2 m

Step-by-step explanation:

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)

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step-by-step explanation:

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step-by-step explanation: