Answer:
The length of the hypotenuse is 26 inches
Step-by-step explanation:
The leg(brace) attached to the wall is 10 inches
Perpendicular = 10 inches
Your surfboard sits on a leg that is 24 inches.
Base = 24 inches
Formula : 


Hypotenuse = 26
Hence the length of the hypotenuse is 26 inches
Answer:
The distance from the flagpole to the tree is 27 ft
Step-by-step explanation:
Answer:
Length of MN = 65.68 feet (Approx.)
Step-by-step explanation:
Given:
Height of NO = 60 feet
Angle ∠M = 66°
Find:
The length of MN
Computation:
Given triangle is a right angled triangle
So,
NO is a perpendicular
MN is hypotenuse
Using trigonometry functions
Sin θ = Perpendicular / Hypotenuse
Sin 66 = NO / MN
0.9135 = 60 / Length of MN
Length of MN = 60 / 0.9135
Length of MN = 65.68 feet (Approx.)
Answer:
There are 240 boys.
Step-by-step explanation:
There are five boys to every three girls in an introductory Chinese course. Given that there are 384 students enrolled in total, we want to determine the amount of students which are boys.
Let <em>b</em> represent the number of boys and <em>g</em> girls.
Since the ratio is 5:3, we can write that:

And since the total number of students is 384:

From the first equation, cross-multiply:

Solve for <em>g: </em>
<em />
<em />
Substitute:

Simplify:

Solve for <em>b: </em>
<em />
<em />
<em />
In conclusion, 240 of the total students are boys.