Using the law of sins:
B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees
B= 40.03 degrees (round as needed)
Answer:
see explanation
Step-by-step explanation:
using the rules of radicals
×
⇔ 
⇔ 
then

= 
=
×
= 10 × 2.24
= 22.4
-------------------------------

= 
= 
= 
= 
= 0.707
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.
in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1
in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft
in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft
the answer part 1) BC is 17491 ft
Part 2) Find CD, the height of the plane from the ground, to the nearest foot.
CD=sin24*BD ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft
the answer part 2) CD is 6499 ft
Answer:
602.88in²
Step-by-step explanation:
Formula for finding the volume of oblique triangle is expressed as
A = πr²h
Given
radius r = 4in
height h = 12in
Substitute
A = π*4²*12
A = 3.14*16*12
A = 3.14 * 192
A = 602.88in²
Hence the area of the cylinder is 602.88in²