Answer:
Step-by-step explanation:
We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.
Therefore, we have:
, where 
is the distance between the base of the tower and the fire.
Solving, we get:
I think the first one (hope it helps.
Answer:
Step-by-step explanation:
Given the expression
step one: let us work on the terms inside the bracket
Step two:
open the bracket
Hence the simplified expression is
Answer:
See below ~
Step-by-step explanation:
Formula for area of a triangle :
<u><em>Area (triangle) = 1/2 × base × height</em></u>
<u><em /></u>
=============================================================
Solving :
<u>Triangle 1 (Top Left)</u>
⇒ Area = 1/2 × 11 × 3
⇒ Area = 33/2
⇒ Area = 16.5 in²
<u>Triangle 2 (Top Right)</u>
⇒ Area = 1/2 × 8 × 7.2
⇒ Area = 4 × 7.2
⇒ Area = 28.8 cm²
<u>Triangle 3 (Bottom Left)</u>
⇒ Area = 1/2 × (5.5 + 5) × 10.4
⇒ Area = 10.5 × 10.4
⇒ Area = 109.2 m²
<u>Triangle 4 (Bottom Right)</u>
⇒ Area = 1/2 × (2 + 7) × 5.5
⇒ Area = 9 × 2.75
⇒ Area = 24.75 in²
The equation y = 6x + 2 is in the format which is called the slope-intercept form: y = mx + b where m = slope. Therefore the slope here is 6.
For the line perpendicular, the slope of it is a negative reciprocal from the original slope, that is m(perpendicular) = -1/m
Slope the line perpendicular is m(perpendicular) = -1/6. The answer is C.
