Answer:
100 Cos 40° + 100 Sin 40° ≈ 141 yards
Step-by-step explanation:
From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle
This means that;
Cos 40° = x/100
x = 100 Cos 40°
Sin 40° = y/100
y = 100 Sin 40°
Therefore, total distance walked = x + y
" = 100 Cos 40° + 100 Sin 40° ≈ 141 yards
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
19</span>²<span> = 13</span>²<span> + X</span>²<span>
X - length of the third side
361 = 169 + X</span>²<span>
X</span>²<span> = 361 - 169
X</span>²<span> = 192
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
Answer:
The time (t) it takes to clean an office building is <em><u>directly</u></em> <em><u>related</u></em> to the number of people (p) working.
t is proportional to p

We want to solve

Subtract 5 from each side.

Divide each side by 3.

Take natural logs of each side.

Divide each side by 2.
x = 0.9962
Answer: x = 0.996 (nearest thousanth)
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent

Plug in what we know:


