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Zielflug [23.3K]
3 years ago
12

A building casts a shadow that is 15 meters in length The distance from the top of the building to the top of the shadow is 25 m

eters. What is the
height of the building?​
Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

20 meters

Step-by-step explanation:

The shadow of the building will look like a right triangle. In this problem, the hypotenuse of the triangle is 25 meters, and one of the sides is 15 meters. What we are trying to find is the length of the other side.

We can do this by using pythagoreans theorem.

15^2 + x^2 = 25^2\\225 + x^2 = 625\\x^2 = 400\\x =  20

So, the last side (or the height of the building) is 20 meters.

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When lines are parallel...
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Step-by-step explanation:

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Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
maw [93]

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

 

5 0
2 years ago
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