Answer:
6.3 ft
Step-by-step explanation:
The ladder lying on the wall with an elevation of 39° forms a right angled triangle.
Hypotenuse = length of ladder = 10 ft
Opposite = x = ?
θ = 39°
Use trigonometric ratio formula to find, x, which is how far the ladder goes up the wall.
The trigonometric ratio formula to use is:
sin(θ) = opposite/hypotenuse
Sin(39) = x/10
Multiply both sides by 10
10*sin(39) = x
x = 10*sin(39)
x = 6.29 ≈ 6.3 ft (to nearest tenth)
Answer:
1359 meters
Step-by-step explanation:
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Answer:
x=52
y=25
z=90
Step-by-step explanation:
x= 180-38-90=52
y= 180-(65+52)-38=25
z=180-65-25=90
Answer:
C. 33
Step-by-step explanation:
Sample mean is right in the centre of the interval
Sample mean:
(25+41)/2
66/2
33
Answer: Bottom row = 55°, 75°, and 56°
Top angle = 79°
<u>Step-by-step explanation:</u>
Use the Triangle Sum Theorem, which states that the sum of the angles of a triangle equal 180°.
I am going to evaluate the 3 small triangles on the bottom and then the big triangle:
<u>Bottom Left Triangle</u>
45 + 80 + ? = 180
125 + ? = 180
? = 55
<u>Bottom Center Triangle</u>
54 + 51 + ? = 180
105 + ? = 180
? = 75
<u>Bottom Right Triangle</u>
50 + 74 + ? = 180
124 + ? = 180
? = 56
<u>Big Triangle</u>
56 + 45 + ? = 180 <em>56 was calculated from the bottom right triangle</em>
101 + ? = 180
? = 79