Question

1. determine side a, side b, and ∠2.

1. in relation to angle 18.70 degrees, 9.870 meters side = hypotenuse and side a = adjacent side and side b = opposite side, angles 18.70 degrees and angle 2 are complementary.

Explanation:

Step1: Calculate angle 2

$\angle 2 = 90^\circ - 18.70^\circ = 71.30^\circ$

Step2: Find side a (adjacent)

$a = 9.870 \times \cos(18.70^\circ) \approx 9.870 \times 0.947 \approx 9.357$ cm

Step3: Find side b (opposite)

$b = 9.870 \times \sin(18.70^\circ) \approx 9.870 \times 0.320 \approx 3.158$ cm

Answer:

side a ≈ 9.36 cm, side b ≈ 3.16 cm, ∠2 = 71.30°