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Valentin [98]
3 years ago
9

An engineer is standing 10 meters away from a building. When she looks up at the top of the building, she measures the angle fro

m the ground to the top of the building to be 60. What is the height of the building (as a decimal)?
Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

Step-by-step explanation:

If the height of the building is x

Tan 60°= x/10

1.732 x 10 =x

Height of the building is = 17.32m

You might be interested in
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
Which ratios are equal to 64 when the scale factor is 8? Select all that apply.
Luden [163]

Answer:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Step-by-step explanation:

Suppose that we have a cube with sidelength M.

if we rescale this measure with a scale factor 8, we get 8*M

Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

5 0
3 years ago
(EASY)(BRAINLIEST)Which of the four angles marked on the picnic table is obtuse?
Nataly [62]
The angle that is obtuse is 1, because it is greater than 90°.

Hope this helps and have a nice day:)
4 0
3 years ago
Read 2 more answers
PLZ NEED HELP RIGHT AWAY
Sever21 [200]
1) A
3) B
4) A
5)A
sorry that i dont have all the answers, hope this helped
8 0
3 years ago
Read 2 more answers
Y∝1√x<br> If <br> y=7 when x=64<br> find, <br> x when y=8
Taya2010 [7]

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

3 0
2 years ago
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