Answer:
building: 51.4 ft
flagpole: 5.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
If we let b and p represent the heights of the building and flagpole, respectively, then we can write two equations using the tangent relation:
tan(79°) = b/10
tan(80°) = (b +p)/10
Multiplying these equations by 10 gives the values we're interested in.
b = 10·tan(79°) ≈ 51.4 . . . feet
b +p = 10·tan(80°) ≈ 56.7 . . . feet
Then the height of the flagpole is ...
p = (b+p) -b = (56.7 ft) -(51.4 ft) = 5.3 ft
The building is 51.4 ft tall.
The flagpole is 5.3 ft tall.
The sum of the 3 angles in a triangle needs to be 180.
To find the 3rd angle subtract the two k own angles from 180
3rd angle = 180 - 41 -5 = 134 degrees
Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,
⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)
Answer:
2385 watts
Step-by-step explanation:
265 x 9 = 2385
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