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Simora [160]
3 years ago
14

From the top of a building, the angle of depression to a point 200 ft in front of the building is 72º. How high is the building?

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

x ≈ 50.76

Step-by-step explanation:

Sin72º = \frac{x}{200}

200Sin72º

x ≈ 50.76

Hope this is helpful :')

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Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di
Mice21 [21]

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

c^{2} = a^{2}  + b^{2}

9^{2} = 7^{2} + d^{2}

d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0
3 years ago
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Which equation is true for the function h(x) = 16*?
LekaFEV [45]

Answer:

opiton b

Step-by-step explanation:

To find out which equation satisfies h(x) we need to check with each option

We plug in x  value

A) h(–1.25) = –0.5

Plug in -1.25 for x  in h(x) = 16^x

That is not true

B) h(–0.5) = 0.25

Plug in -0.5 for x  

That is true.

C)  h(0.75) = 12

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D)  h(1.25) = 20

Plug in 1.25 for x  

That is not true

4 0
4 years ago
How many nickels are in a quarter​
nevsk [136]

Answer:

5 nickles in a quator.

Step-by-step explanation:

8 0
3 years ago
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Two lines are parallel if and only if their slopes are equal. Write two if-then statement that are implied by this thesis statem
Veronika [31]
If and only if (iff) statements are true if only both statements are true of both are false, its double implied.
Here are the implications:
If two lines are parallel then their slopes are equal.
If the slopes of two lines are equal then they are parallel.
5 0
3 years ago
8 squared + b squared= 17 squared find b
Stels [109]

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

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b=15

8 0
3 years ago
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