Answer:
3485 ft
Step-by-step explanation:
The height above the radar station is found using ...
height = distance × sin(angle)
height = (4200 ft) × sin(55°) ≈ 3440 ft
Since the radar station is 45 ft above the ground, the height of the clouds will be an additional 45 ft:
3440 ft + 45 ft = 3485 ft . . . . height of clouds
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<em>Comment on units</em>
You need to be a bit careful here because one dimension is given in feet and another in yards. You need to use 1 yard = 3 feet to figure that 1400 yards = 4200 feet. You could convert 45 ft to 15 yards and report the cloud height in yards. That would not be wrong, but it would be unusual.
3x+21 or 3x+3(7)
You distribute the 3 to all numbers
Answer:
33°, 57°
Step-by-step explanation:
The sum of angle measures is 90°, so we can write ...
(x +3) + (2x -3) = 90
3x = 90 . . . . . . . . . . . . simplify
x = 30 . . . . . . . . . . . . . divide by 3
The first angle is 30+3 = 33 degrees.
The second angle is 2·30-3 = 57 degrees.
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Check:
33° +57° = 90°
Answer:
A...similar triangles
Step-by-step explanation:
option b... the two triangles are not congruent
option c... the area of ∆AED= 3, ∆ACB= 12.. half of 12 is 6.. wrong
option d. perimeter of ∆AED= 8.60, area of ∆ACB = 12... one fouth of 12 =3. wrong.
option A.. similar triangles have the same shape but they necessarily don't need to have the same size. ... correct! both triangles are right angled triangles.
note.. perimeter is summation of all sides..
solving unknown side use Pythagoras formulae
hyp= √ height (sq) + base (sq)
area of ∆ = 1/2 * base * height...