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Nostrana [21]
3 years ago
8

The angle of elevation from the top of a building to the top of another is 45°.

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

402m

Step-by-step explanation:

Set this up as a triangle and use trig to solve it:

tan(45) = y/402

y = 402*tan(45)

substitute: tan(45) = 1

y = 402 * 1

y = 402m

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The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?
Tcecarenko [31]

Answer:

  12π in³

Step-by-step explanation:

The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...

  r² + x² = y²

  x = √(y² -r²) = √(25 -9) = 4 . . . inches

The formula for the volume of a cone is ...

  V = (1/3)πr²h . . . . . . . . h is the height, what you call x

Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...

  V = (1/3)π(3 in)²(4 in) = 12π in³

The volume of the cone is 12π cubic inches.

6 0
3 years ago
Read 2 more answers
HELPPP ME ASAPPPP PLEASEEE!!
kaheart [24]

y = 90°

Solution:

The reference image for the answer is attached below.

The sum of opposite interior angles is equal to the exterior angles.

m∠BAC + m∠ACB = 110°

m∠BAC + 70° = 110°

m∠BAC = 110° –  70°

m∠BAC = 40°

m∠BAD + m∠DAC = 40°

x + x = 40°

2x = 40°

Divide by 2 on both sides of the equation.

x = 20°

In triangle DAC,

Sum of all the angles of a triangle = 180°

m∠DAC + m∠ACD + m∠CDA = 180°

20° + 70° + m∠CDA = 180°

90° + m∠CDA = 180°

m∠CDA = 180° – 90°

m∠CDA = 90°

∠CDA and y lies on the straight line. So they form a linear pair.

y + m∠CDA = 180°

y + 90° = 180°

y = 180° – 90°

y = 90°

The value of y is 90°.

7 0
3 years ago
Find the unknown angle measure by solving for the given variable.
pochemuha

Answer:

10 1/2

Step-by-step explanation:

8 0
2 years ago
Suppose an isotope has a half-life of 10 years. If you start with 50 grams of the isotope, how much of it will you have in 10 ye
Goshia [24]
The half life of a decaying substance is defined as the time at which the substance decreases to one-half of its original value. In this case, given  hlf-life of 10 years and an original mass of 50 grams, after 10 years, the isotope mass becomes 50*0.5 or 25 grams. Answer is B.
5 0
3 years ago
What is the slope between the two points?<br> (6,8 ) and (-3, 8 )
Marta_Voda [28]

Answer:

slope=0

Step-by-step explanation:

Slope (m) = ΔY /ΔX =0  

ΔX = -3 – 6 = -9

ΔY = 8 – 8 = 0

Distance (d) = √ΔX2 + ΔY2 = √81 = 9

Equation of the line:

y = 0x + 8

When x=0, y = 8

5 0
3 years ago
Read 2 more answers
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