nicholasesquivel0505
nicholasesquivel0505 nicholasesquivel0505
  • 04-05-2021
  • Mathematics
contestada

Item 13
You are planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need.

Item 13 You are planting a garden in the shape of an equilateral triangle as shown in the diagram You want to find the area of the garden to determine how much class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 09-05-2021

Answer:

4√3 ft²

Step-by-step explanation:

Area of the garden = ½*b*h

b = 4ft

To find h, apply trigonometric function:

Reference angle = 60°

Opposite = h

Hypotenuse = 4 ft

Apply SOH:

Sin 60° = Opp/Hyp

Sin 60 = h/4

4*sin 60 = h

4*√3/2 = h (sin 60 = √3/2)

2*√3 = h

h = 2√3

Find the area:

Area = ½*b*h

= ½*4*2√3

= 4√3 ft²

Answer Link

Otras preguntas

Josh is working on a research paper about the 1930s Spanish Civil War. Before writing his paper, he decides he wants to understand the consequences of the event
Mark has 312 books in his bookcase . he has 11 times as many fiction than non fiction. how many fiction does he havr
What places have the same name as wen the us was part of spain?
In the figure, a∥e , m∥n , and m∠2 = 112°. What is the m∠6 ? Enter your answer in the box.
Herky found that 8 out of every 100 beans in his garden were nibbled by rabbits. how many beans can he expect to be damaged if there are 450 beans in his garden
Will make the best answer the brainliest...At home remedies to help with sinus headache!! Are what?
What did the Copernican revolution demonstrate
Help me pleaseeeeeeee
Which fallacy occurs when irrelevant evidence is used to support an argument
What is 1/4 of 12 marbles?