<h2>Answer:</h2>
8.75 feet
<h2>
Step by step:</h2>
Given that a 12 foot ladder leans against a building seven feet above the ground.
By using trigonometry ratio, the angle between the ladder and the ground will be
SinØ = opposite/ hypothenus
SinØ = 7 / 12
SinØ = 0.58333
Ø = Sin^-1(0.58333)
Ø = 35.69 degree
At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
Using the same trigonometric ratios
SinØ = opposite/hypothenus
Sin 35.69 = opposite/ 15
Cross multiply
Opposite = 15 × sin 35.69
Opposite = 8.75 feet
Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.
Answer:
1/9
Step-by-step explanation:
8/9 ÷ 8/1
8/9 x 1/8 = 8/72
The GCF for 8 and 72 is 8
÷
=
Bottom right choice
Mark brainliest please
Hope this helps you
The ratio of the number of children to the number of adults in this group is 2 : 3
<h3>How to determine the ratio?</h3>
The admission is given as:
Children=4
Adult = 6
Express as ratio
Ratio = Children : Adult
This gives
Children : Adult = 4 : 6
Simplify
Children : Adult = 2 : 3
Hence, the ratio of the number of children to the number of adults in this group is 2 : 3
Read more about ratio at:
brainly.com/question/13419413
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Answer:
Perimeter = 32m
Area = 76.8m²
Step-by-step explanation:
Question:
On a farm they want to put an octagonal fence to keep the geese at night. They have already placed two of the sides and used 8 meters of fence. If we know that the apothem is 4.8 meters, what will be its perimeter? And your area?
Octagonal polygon is a polygon with 8sides.
Two sides of fence = 8m
One side of fence = 8/2 = 4m
Each sides = 4m
Apothem = 4.8m
Let's look at the steps that will enable us solve this question.
The area of a regular polygon is calculated as:
Area = ½ap
where a = the apothem of the polygon
p= the perimeter of the polygon.
Apothem is the distance between the centre of the polygon and the base of the polygon.
The perimeter (p) = The sum of all sides of the octagon
p = (4 + 4 + 4 + 4 + 4 + 4+ 4+ 4 )
p = 4(8)
perimeter (p) = 32m
Area = ½ ×a ×p = ½ × 4.8m × 32
Area = 153.6/2
Area = 76.8m²
