A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 18° with the horizontal. The flagpole
casts a 12-meter shadow up the slope when the angle of elevation from the tip of the shadow to the sun is 19°. What is the height of the pole?
1 answer:
Answer:
height = 9.28m
Step-by-step explanation:
Sum of angle in a triangle = 180°
To find the third angle, we have
180° = 71° + 62° + α
180° = 133° + α
α = 180° - 133°
α = 47°
To find the height use sine rule
h/sin47° = 12/sin 71°
h(sin71°) = 12sin47°
h = 12sin47° / sin71°
h = 12(0.7314) / 0.9455
h = 8.7768/0.9455
h = 9.28m
You might be interested in
If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.
Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.
Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.
formula of polar graph is similar to r= a+ b cos (θ).
Case 1. If a<b or b/a>1
then the curve is a limacon with inner loop.
Case 2. If a>b or b/a<1
Then the limacon does not have an inner loop.
Here given that (θ)
It is observed that , a<b or b/a>1
Therefore the curve is limacon with an inner loop.
Hence because b/a>1 the curve is a limacon with an inner loop.
Learn more about limacon at brainly.com/question/14322218
#SPJ4
Answer:
x=6
y=3
Step-by-step explanation:
y(side)= x
x(side)=2x
3rd side (3) = x
x=3;
x= 2(3)=6
y=(3)=3