Question

Anybody know the answer to this

Answer 1

Answer:

1. sin(Z) = 0.6

2. sin(C) = 0.28

3. cos(Z) = 0.8

4. tan(C) = 0.75

5. tan(50°) = 1.1918

6. cos(40°) = 0.7660

7. sin (25°) = 0.4226

8. sin(75°) = 0.9659.

Step-by-step explanation:

The trigonometric ratios are

$cos \ \theta = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}$

$sin \ \theta = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

$tan \ \theta = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}$

1. The length of the opposite leg to angle Z = 24

The length of the hypotenuse side = 40

∴ sin(Z) = 24/40 = 0.6

2. The length of the opposite leg to angle C = 14

The length of the hypotenuse side = 50

∴ sin(C) = 14/50 = 0.28

3. The length of the adjacent leg to angle Z = 24

The length of the hypotenuse side = 30

∴ cos(Z) = 24/30 = 0.8

4. The length of the opposite leg to angle C = 27

The length of the adjacent leg = 36

∴ tan(C) = 27/36 = 0.75

5. Using the calculator, and rounding the answers to the nearest 10,000, we have;

tan(50°) = 1.1918

6. Using the calculator, and rounding the answers to the nearest 10,000, we have;

cos(40°) = 0.7660

7. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin (25°) = 0.4226

8. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin(75°) = 0.9659.