The flagpole is 35.43 meters tall
Distance of the flag from the cliff is 30m
Angle of elevation to the flagpole is 35°
Angle of elevation to the top of the cliff is 20°
To solve this we would apply the sine rule.
The sine rule states that [tex]\frac{sin A}{a} = \frac{sin B}{B}[/tex]
Taking a look at the attached image, we see that
b = 30
B = 70°
a = ?
A = 20°
Applying the formula, we have
[tex]\frac{sin20}{a} = \frac{sin 70}{30}[/tex]
asin(70) = 30sin(20)
a = [tex]\frac{30sin20}{sin70}[/tex]
a = [tex]\frac{27.388}{0.773}[/tex]
a = 35.43 meters
