All categories

3 years ago

From an angle of depression of 61 degrees, John

Mathematics

1 answer:

meriva3 years ago

4 0

Answer:

10.53

Step-by-step explanation:

Given :

Height of building = 17m

John's eye level = 2 m

Total height (including eye level) = 17+2 = 19m

Angle of depression, θ = 61°

Let distance between John's friend and building = d

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 61° = 19 / d

1.8040477 = 19 / d

d = 19 / 1.8040477

d = 10.53

You might be interested in

Identify the level of measurement: the number of rooms in a single-family house.

Firlakuza [10]

The level of measurement of the number of rooms in a single-family house is ratio scale.

A ratio scale has measurements where the difference between values is meaningful. In other words, the differences between points on the scale are measurable and exactly equal. For example, the difference between 2 rooms and 4 rooms in a single family house is 2 rooms and is equal to the distance between 3 rooms and 5 rooms.

Also the ratio scale has has a meaningful zero. The zero in a ratio scale means that something doesn’t exist. For example, there are 0 rooms in a single family house means that there is no room in the house.

5 0

3 years ago

It has been hypothesized that the standard deviation of the germination time of radish seeds is 8 days. The standard deviation o

Yanka [14]

Answer:

$\chi^2 =\frac{60-1}{64} 36 =33.19$

The degrees of freedom are:

$df= n-1= 60-1= 59$

And the p value would be given by:

$p_v =2*P(\chi^2 >33.19)=0.0053$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

Step-by-step explanation:

Data given

$n=60$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =6^2 =36$ represent the sample variance obtained

$\sigma^2_0 =8^=64$ represent the value that we want to test

Hypothesis to test

We want to verify if the true deviation is equal to 8 days o not, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 64$

Alternative hypothesis: $\sigma^2 \neq 64$

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

Replacing we got:

$\chi^2 =\frac{60-1}{64} 36 =33.19$

The degrees of freedom are:

$df= n-1= 60-1= 59$

And the p value would be given by:

$p_v =2*P(\chi^2 >33.19)=0.0053$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

6 0

4 years ago

A tank is filled with water at a rate of 2.4 liters per minute. At this rate, how

TEA [102]

Answer: 35 minutes

Step-by-step explanation:

84 liters divided by 2.4 liters per minute

84/2.4=35 minutes

4 0

3 years ago

Mr. Tesoro drew this quadrilateral with two equal sides that meet at a right angle and a pair of equal opposite angles that are

kirill [66]

Answer:

The answer is kite.

Step-by-step explanation:

Well, just looking at the definition of a kite, we can see that it lines up with Mr. Tesoro's description and drawing of the quadrilateral. A kite has one right angle that meets up witht two equal lines. The opposite pair of lines, that are much longer, don't meet up to be a right angle. The definitions line up, so there's your match; the anser is kite.

5 0

4 years ago

(iii) If a, b, c are rational numbers, then a x (b-c) #ax b-ax c. true or false

sp2606 [1]

Answer:

false

Step-by-step explanation:

answer:ab-ac=ab-ac

3 0

3 years ago