Answer:
A = 23.6 units^2
Step-by-step explanation:
Let the base be 8 (as shown).
Find the height of the triangle: Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees. The side "opposite" this 80-degree angle is the height of the triangle:
height
sin 80 degrees = ---------------
6
and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.
The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:
A = (1/2)(8 units)(5.91 units), or
A = 23.64 units^2, or A = 23.6 units^2
Answer:
The height of the kite from the ground is 13.617 feet
Step-by-step explanation:
Given as :
The measure of the string = 30 feet
The angle of elevation from the boy to his kite = 27°
Let the height of the kite from ground = H feet
So, From Triangle
Sin angle = 
Or, Sin 27° = 
or, H = 30 × Sin 27°
I.e H = 30 × 0.4539
∴ H = 13.617 feet
Hence the height of the kite from the ground is 13.617 feet Answer
Answer:
I think B but I'm not sure
Step-by-step explanation:
Answer:
There are 18 teachers in the auditorium.
Step-by-step explanation:
1/9 of 162
1/9 * 162 = 18.
