Answer:
0.205177 mi
Step-by-step explanation:
Step 1: Find conversions
12 in = 1 ft
5280 ft = 1 mi
Step 2: Use Dimensional Analysis

0.205177 mi
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒ 
⇒ 
Using value of sin 29°
⇒ 
Cross multiplying both side.
⇒ Sin B= 
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒ 
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.

⇒
Using the value of sine and cross multiplying both side.
⇒ C= 
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle= 
∴ Perimeter of triangle= 63.9 units
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!