X=.8(50)
x=40
Therefore 40 is 80% of 50.
Hope this helps!
(Also the formula I used is: part = percent * whole)
Answer:
115°
Step-by-step explanation:
Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.
Answer:
x <7
Step-by-step explanation:
3x – 4 < 17
Add 4 to each side
3x – 4+4 < 17+4
3x < 21
Divide each side by 3
3x/3 < 21/3
x <7
Answer:
73.2 ft is the man from the base of the bridge tower.
Step-by-step explanation:
By using the trignometric property
![tan\theta = \frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BBase%7D)
As given
A bird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground).
The angle of depression from the bird is 26 ̊.
![\theta = 26^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2026%5E%7B%5Ccirc%7D)
Base = Height of bridge tower - Height of man
AB = AC - DE
= 200 ft - 50 ft
= 150 ft
BE = Perpendicular
Putting all the values in the trignometric property
![tan26^{\circ} = \frac{BE}{AB}](https://tex.z-dn.net/?f=tan26%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BBE%7D%7BAB%7D)
![tan26^{\circ} = \frac{BE}{150}](https://tex.z-dn.net/?f=tan26%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BBE%7D%7B150%7D)
![tan26^{\circ} = 0.488\ (Approx)](https://tex.z-dn.net/?f=tan26%5E%7B%5Ccirc%7D%20%3D%200.488%5C%20%28Approx%29)
BE = 150 × 0.488
BE = 73.2 ft
Therefore 73.2 ft is the man from the base of the bridge tower.