Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Answer:
height of the tree is 30 feet
Step-by-step explanation:
a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.
shadow of a 5 feet tall person is 7 feet long
Let x be the height of the tree
shadow of a 42 feet tree is x feet long
Make a proportion
cross multiply
divide by 7 on both sides
x=30
So height of the tree is 30 feet
Step-by-step explanation:
okay
I think you should use the method of tan 30
and then find x by using pythagorean theorem
The gardener will need to buy 60 feet of fencing. Because the square root of 225 if 15, and 15 times 4 is 60. So, 60 is the perimeter of the garden.
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50
