Answer:
6√3 = x y =12
Step-by-step explanation:
Since the two sides of the triangles have equal angles then two sides have equal length
the sum of interior angles of triangles is 180° then the last angle is 60°
then the triangles have perfect sides of 12
y = 12
to calculate x
sin Ф = opposite/hypothenus
sin 60° = x/12
sin 60° = √3/2
( √3/2 ) x 12 = x
6√3 = x
Answer:
22
Step-by-step explanation:
6( n^2 +2)
-----------------
n
Let n = 3
6( 3^2 +2)
-----------------
3
Parentheses first
6( 9 +2)
-----------------
3
6( 11)
-----------------
3
Top of the fraction next
66
-----
3
Divide
22
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet
Answer: it is 6
Step-by-step explanation: because they are the same length.
Answer:
The ramp is 21.8 ft tall.
Step-by-step explanation:
If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.
We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:
Insert values:
Multiply 40 to both sides to isolate the variable:
Insert the value of x into a calculator:
Round if necessary:
Done.
