Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
The answer is B, 7.6-(-1.7)=9.3
Answer:
B = 70
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B + C = 180
40 + 2x-30 + x+20 = 180
Combine like terms
3x + 30 = 180
Subtract 30 from each side
3x+30-30 = 180-30
3x = 150
Divide by 3
3x/3 =150/3
x = 50
We want to find angle B
B = 2x-30
=2(50) - 30
= 100 - 30
= 70
