# why did the professional dog walker worksheet

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**Q1. sin27° = x/8
**

Solution:

We have to solve for x, therefore, we will rearrange the given equation for x.

We get,

x = 8 × sin27°

Using the calculator,

sin27° = 0.45

Now substitute the value of sin27° into the main equation.

we get,

x = 8 × 0.45

**x = 3.63 (rounded to the nearest hundredth)**

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**Q2. tan 18° = n / 75**

Solution:

We have to solve for n, therefore, we will rearrange the given equation for n.

We get,

n = 75 × tan 18°

Using the calculator,

tan 18° = 0.32

Now substitute the value of **tan 18°** into the main equation.

we get,

x = 75 × 0.32

**x = 24.37 (rounded to the nearest hundredth)**

**Q3. sin40° = 4 / a**

Solution: We have to solve for a, therefore, we will rearrange the given equation for a.

We get,

a = 4 ÷ sin40°

Using the calculator,

sin40° = 0.64

Now substitute the value of sin40° into the main equation.

we get,

a = 4 ÷ 0.64

**a = 6.25 (rounded to the nearest hundredth)
**

**Q4. cos5° = 92 / y**

Solution: We have to solve for y, therefore, we will rearrange the given equation for y.

We get,

y = 92 ÷ cos5°

Using the calculator,

Cos5° = 0.99

Now substitute the value of cos5° into the main equation.

we get,

y = 92 ÷ 0.99

**y = 92.92 (rounded to the nearest hundredth)**

**
Q5:** Given the shape attached, therefore, using the triangle given, we have:

Angle of elevation = 35°

length of Opposite side to the angle = x

Length of Hypoteneus = 12

Calculations:

Using the SOH CAH TOA rules:

SOH stands for SineФ = Opposite ÷ Hypotenuse.

CAH stands for CosineФ = Adjacent ÷ Hypotenuse.

TOA stands for TangentФ = Opposite ÷ Adjacent.

Hence,

SineФ = Opposite ÷ Hypotenuse

Substituting the values:

Sine35° = x ÷ 12

0.5735 = x ÷ 12

x = 0.5735 × 12

**x = 6.88 (rounded to the nearest hundredth)**

**Q6: **Given the shape attached, therefore, using the triangle given, we have:

Angle of elevation = 54°

length of the adjacent side to the angle = x

Length of Hypoteneus = 30

Calculations:

Using the SOH CAH TOA rules:

Hence,

CosineФ = Adjacent ÷ Hypotenuse

Substituting the values:

Cos54° = x ÷ 30

0.5877 = x ÷ 30

x = 0.5877 × 30

**x = 17.63 (rounded to the nearest hundredth)**

**Q7: **Given the shape attached, therefore, using the triangle given, we have:

Angle of elevation = 22°

length of the adjacent side to the angle = 85

length of the opposite side to the angle = x

Calculations:

Using the SOH CAH TOA rules:

Hence,

TangentФ = Opposite ÷ Adjacent

Substituting the values:

tan22° = x ÷ 85

0.4040 = x ÷ 85

x = 0.4040 × 85

**x = 34.34 (rounded to the nearest hundredth)**

**Q8: **Given the shape attached, therefore, using the triangle given, we have:

Angle of elevation = 16°

length of the opposite side to the angle = x

Length of Hypoteneus = 14

Calculations:

Using the SOH CAH TOA rules:

Hence,

CosineФ = Adjacent ÷ Hypotenuse

Substituting the values:

Sine16° = x ÷ 14

0.2756 = x ÷ 14

x = 0.2756 × 14

**x = 3.86 (rounded to the nearest hundredth)**

**Q9: **Given the shape attached, therefore, using the triangle given, we have:

Angle of elevation = 65°

length of the adjacent side to the angle = 9

length of the opposite side to the angle = x

Calculations:

Using the SOH CAH TOA rules:

Hence,

TangentФ = Opposite ÷ Adjacent

Substituting the values:

tan65° = x ÷ 9

2.1445 = x ÷ 9

x = 2.1445 × 9

**x = 19.30 (rounded to the nearest hundredth)**

### What is 1315 divisible by?

1, 5, 263, 1315.

### What is 1315 divided by 4?

328.75

### What is ten percent of one thousand three hundred and fifteen dollars?

10% of $1315= 10% * $1315= 0.10 * $1315= $131.50

### What is the answer. 415 plus 815 plus 1315?

415 + 815 + 1315 = 2545

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