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lapo4ka [179]
3 years ago
15

An engineer is surveying a building with a device that is 5 feet above the ground. He is 50 feet from the building and is lookin

g with an angle of elevation of 50°. How tall is the building?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
1. Check the sketch of the problem.

2. In right triangle DCE,

 tan50= \frac{EC}{DC}= \frac{x}{50}

tan 50 can be found to be 1.19 using a scientific calculator or other software.

1.19=\frac{x}{50}

x=1.19*50=59.5 (feet)

3. The height of the building is 59.5+5=64.5 (feet)

Answer: 64.5 (feet)

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In the right triangle shown Ac=BC and AB=6 to the square root of 3, how long are each of the legs
Inga [223]

Answer:

6 units

Step-by-step explanation:

I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.

Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.

Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.

Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:

6√2 = x√2 (Divide by √2)

x = 6

The length of the legs are 6 units.

4 0
3 years ago
If zb⊥ya , find m<br><br>A. 28<br><br>B.46<br><br>C.56<br><br>D.62<br><br>I'll give you brainliest
prohojiy [21]
<h3>Answer:</h3>

A. 28

<h3>Step-by-step explanation:</h3>

We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA

(5x +3)° = (2x +18)°

Divide by ° and subtract 2x+3:

... 3x = 15

... x = 5

Then ∠BZA = (2·5 +18)° = m = 28°

5 0
3 years ago
Expand if necessary combine like terms (7+x)(7-x)=
mina [271]

Answer:

49 - x^2

Step-by-step explanation:

(7+x)(7-x)

We know this is the difference of squares

(a-b) (a+b) = a^2 - b^2

7^2 - x^2 = 49-x^2

We can also FOIL

first = 7*7 = 49

Outer: = 7x

Inner: = -7x

Last : -x*x = -x^2

Add them together

49 +7x-7x - x^2

Combine like terms

49-x^2

4 0
3 years ago
John's garden is 12ft long and 15ft wide. How<br> long is John's garden in yards?
kkurt [141]

Answer:

4 yards long

Step-by-step explanation:

John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4

6 0
3 years ago
Read 2 more answers
Can 7/9 and 42/54 form a proportion
SOVA2 [1]

Answer:

yes

Step-by-step explanation:

42/54 = 6*7/6*9 = 7/9

7/9 = 42/54

8 0
3 years ago
Read 2 more answers
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