Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
learn more on right triangles here: brainly.com/question/25799394
Answer:
18/24
Step-by-step explanation:
the second number is 2/3 of the first number
Answer:
8 - 12 + 6x
-4 + 6x
or
6x - 4
Step-by-step explanation:
Answer: the length is 15 m and the width is 5 m
Step-by-step explanation:
Let L represent the original length of the rectangle.
Let W represent the original width of the rectangle.
The length of a rectangle is three times it's width. This means that
L = 3W
If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that
(L + 3)(W - 1) = 72
LW - L + 3W - 3 - 72 = 72 + 3
LW - L + 3W = 75 - - - - -- - - - - - 1
Substituting L = 3W into equation 1, it becomes
3W × W - 3W + 3W = 75
3W² = 75
W² = 75/3 = 25
W = √25 = ±5
The width cannot be negative. Therefore, the width is 5 m
L = 3W = 3 × 5 = 15 m
Step-by-step explanation:
You posted no answer choices, but a parallel oline has the same slope, so it is in the form
y = 1/5x + b
But b cannot be -1
