Find the slant height of the cone to the nearest whole number.
2 answers:
Answer:
Slant height = 19 m.
Step-by-step explanation:
Given : A cone with height 16 m and base radius 11m .
To find : Find the slant height of the cone to the nearest whole number.
Solution : We have given A cone with height 16 m and base radius 11 m with 90 degree.
By using the Pythagorean theorem :
Slant height = .
Slant height = .
Slant height = .
Slant height = .
Slant height = .
Slant height = 19 .28 m
Nearest whole number 19 m
Therefore, Slant height = 19 m.
You might be interested in
Answer:
A. √3 : 2
D. 3√3 : 6
Step-by-step explanation:
In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°
The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit
The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units
From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side
This is to say if;
The given the shorter leg = 1 unit
The hypotenuse is twice the shorter leg= 2 units
The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg
where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;
<u>Hence the summary is</u>
a=shorter leg= 1 unit
b=longer leg = √3 units
c=hypotenuse=2 units
The ratio of longer leg to its hypotenuse is
=√3:2⇒ answer option A
This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A
Answers are :option A and D