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

When a body part is injured, it should be a. stretched. b. rested. c. exercised. d. stressed
DEFINE VIABLE BUSINESS IDEA
nilai suhu reamur ke fahrenheit
A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How many degrees has the polygon rotated after 7 minutes?
What time did Mario finish homework start 3:30 end 25 min later
forces always act in equal but opposite pairs
If a triangle has a height of 12 inches and a base of 5 inches, what is its area
In 1823, the what Act emerged, stating among other things that Europeans should not interfere with American nations.
Select all that apply. Biogeochemical cycles depend mostly on _____ and _____ for decomposition and the recycling of elements. bacteria fungi protozoa algae pl
_____ were common ocean scavengers long ago, and they are frequently found in fossilized form. A. Trilobites B. Ammonites C. Foraminifera D. Stromatolites