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likoan [24]
3 years ago
13

A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3

feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
Mathematics
1 answer:
yan [13]3 years ago
7 0
Here we have a 90 degrees triangle where we can use trigonometric functions. 

Here we can use tan(x) function because it requires legs of triangle that are given and inverse function of tan(x) will than give us asked angle 

tan(x) = 7.4/9.3 = 0.7956
x = arctan(0.7956) = 38.505 ≈ 39 degrees.
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5. Two similar figures have volumes 27 in.? and 125 in.?. The surface area of the smaller figure is 63 in.. (1 point)
GREYUIT [131]

Answer:

175\ in^{2}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the larger solid

y----> volume of the smaller solid

z^{3}=\frac{x}{y}

we have

x=125\ in^{3}

y=27\ in^{3}

substitute

z^{3}=\frac{125}{27}

z=\frac{5}{3}

step 2

Find the surface area of the larger solid

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of the larger solid

y----> surface area of the smaller solid

z^{2}=\frac{x}{y}

we have

z=\frac{5}{3}

y=63\ in^{2}

substitute

(\frac{5}{3})^{2}=\frac{x}{63}

x=\frac{25}{9}*63=175\ in^{2}

3 0
3 years ago
The ratio of 5 red trucks / 9 white trucks
antoniya [11.8K]

Answer:

5 to 9            5:9            5/9

Step-by-step explanation:

7 0
3 years ago
One day a store sold 21 sweatshirts. White ones cost $11.95 and yellow ones cost $11.50. In all, $245.55 worth of sweatshirts we
lesantik [10]
One day store cost many color in all three nutrients that sweatshirt
7 0
3 years ago
Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the
Vikki [24]
<span><u>Answer </u>
18 feet and 4.5 inches

<u>Explanation </u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.  
</span>
3 0
3 years ago
Instructions: Find mFG.<br> F<br> ?<br> G<br> 55°
Sladkaya [172]

Answer:

110°

Step-by-step explanation:

mFG = 2×<FEG = 2×55 = 110°

Answered by GAUTHMATH

6 0
3 years ago
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