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2 years ago

From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.

Mathematics

1 answer:

mario62 [17]2 years ago

7 0

<h3>Answer: 73</h3>

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Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

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The interior angle sum of a convex polygon is 1,980°.

LenaWriter [7]

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n° = 1980° + 360°

= 2340

To find n, divide by 180 which is the coefficient of n

n = ²³⁴⁰/₁₈₀

= 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

³⁶⁰/n

= ³⁶⁰/₁₃

= 27.69⁰

8 0

2 years ago

A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter

DIA [1.3K]

Answer:

315 jars

Step-by-step explanation:

This question is merely another way of writing: what is 35% of 900?

Now, when we look at it that way, it's easy to solve.

So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.

I hope this helped a bunch! Tell me if you need any further assistance...

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5 0

2 years ago

PLEASE HELP ME!!! The formula F =95C + 32 expresses Fahrenheit temperature in terms of Celsius temperature. Find the Celsius tem

Jet001 [13]

Answer:

Step-by-step explanation:

41= x+32

x= 41-32

x = 4C

6 0

2 years ago

H^-2g for h=3 and g=27

Alexeev081 [22]

Plug h = 3 and g = 27 into the expression:

$h^{-2}g= \dfrac{g}{h^2} = \dfrac{27}{3^2} = \dfrac{27}{9} = 3$

3 0

2 years ago

Solve each equation. Check your solution.

solniwko [45]

Converting all to improper fractions
31/10s = 31/5
5×31s=31×10
155s = 310
s=310/155= 2

20/9=-4/5m
5×20=-4×9m
100=-36m
m=100/-36 = 72 28/36 = 72 7/9

-14/5=-7/2n
-14×2=5×-7n
-28=-35n
n =-28/-35
n=28/35

8 0

3 years ago