Answer:
A. 19.3ft B. 5.2ft
Step-by-step explanation:
So the ladder leaning against the wall forms a triangle. The hypotenuse of
triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.
Sine of Angle is opposite side/hypotenuse
Cosine of Angle is adjacent side/hypotenuse
so Sine of 75 degrees = Wall height/20
Wall height = 20 times Sine of 75 degrees
Sine of 75 degrees = .9659
20 times (.9659) = 19.3ft
So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)
Cosine of 75 degrees = Distance wall to base of ladder / 20
Cosine of 75 degrees = .2588
20 times (.2588) = 5.2ft
Answer: yes. They all add up to 79
Step-by-step explanation:
Answer:
Arc length is 
, or, 14.7
Step-by-step explanation:
AB is an arc intercepted by 140 degree angle. The formula for length of an arc is given by
Where
AL is the arc length
is the angle (in our case, 140)
r is the radius of the circle (which is 6)
<em>Substituting, we get:</em>
<em>
</em>
<em />
<em>In decimal (rounded to tenths) - 14.7</em>
Answer:
x is greater than 30
x is greater than or equal to 31
Step-by-step explanation:
any number above 30 works
Answer:
70.8°
Step-by-step explanation:
The sides and angles are related in a right triangle such that ...
Tan = Opposite/Adjacent
tan(S) = UT/US = 6.6/2.3
The inverse tangent function is used to find the angle from its value:
∠S = arctan(6.6/23)
∠S ≈ 70.8°
