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sammy [17]
3 years ago
15

You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the groun

d and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. (a) What is the measure of the other acute angle?(b) What is the height of the tree?

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

(a)55^o

(b)350.1ft

Step-by-step explanation:

The sum of the angles inside a triangle must be 180°, but from the right angle we already have 90°, so the sum of the two acute angles is 90°, then:

90^o-35^o=55^o

Let s be the length of the shadow and h the height of the three, so tan(35) is

tan(35^o)=\frac{h}{s}

Solving that last equation for h:

h=s*tan(35)=500(0.7002)=350.1ft

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horrorfan [7]

Answer:

425+250 times 8.3%

Step-by-step explanation:

6 0
3 years ago
PLS HELP!<br>0.99 is what percent of 9.90?
Leno4ka [110]

Answer:

10%

Step-by-step explanation:

first let's write out the problem

0.99 is what percent of 9.90     =        0.99=9.90*x

We need to   what c is so we would do the opposite operation of multiplication, division so we get,

0.99/9.90= .1

now we turn .1 into  percent and get out answer

0.1= 10%

3 0
3 years ago
Read 2 more answers
What is the relationship between the ratios?
Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0
3 years ago
The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Brut [27]

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22

Total no of women are 8x. It means 22\times 8=176. Hence, there are 176 women in the company.

6 0
3 years ago
A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil.
pentagon [3]

1. Observe the problem

2. Make a system of linear equations

x is pens

y is pencil

As stated in the text, x=2y

x=2y

7x+12y=6.50

Using substitution,

7(2y)+12y=6.50

14y+12y=6.50

26y=6.50

y=0.25

Substituting it back into the first equation:

x=2(0.25)

<h2><u><em>x=0.5</em></u></h2><h2><u><em>y=0.25</em></u></h2>
7 0
2 years ago
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