Mathematics, 25.11.2019 13:31 musa79

Given the diagram below, what is the tan (60)?

Answers: 3

Show answers

Answers

Answer from: lethycialee79711

B. $\sqrt{3}$

Step-by-step explanation:

We have been given an image of a right triangle and we are asked to find the value of tan(60) for our given triangle.

Since we know that tangent represents the relation between opposite and adjacent of right triangle.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that our adjacent side is not given, but corresponding angle to adjacent side is given that is 30 degrees. So we can conclude that our given triangle is 30-60-90 triangle.

Since the sides corresponding to 30-60-90 triangle equals to $x,x\sqrt{3}\text{ and }2x$ , so the adjacent side for our given triangle will be:

$x\sqrt{3}=8\sqrt{3}$

$\frac{x\sqrt{3}}{\sqrt{3}}=\frac{8\sqrt{3}}{\sqrt{3}}$

x=8

Upon substituting these values in above formula we will get,

$\text{tan}(60^o)=\frac{8\sqrt{3}}{8}$

$\text{tan}(60^o)=\sqrt{3}$

Therefore, the value of tan(60) is $\sqrt{3}$ and option B is the correct choice.

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

Answer from: Quest

nope. happens to me as well.

-aparri

Another question on Mathematics

Mathematics, 21.06.2019 17:00

The general form of the quetion of a circle is ax^2+by^2+cx+dy+e=0 where a=b=0 if the circle has a radius of three units and the center lies on the y axis which set of values of a, b, c, d, and e might correspond to the circle

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Two customers went to a post office. first customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 15 envelopes. what is cost of each envelope?

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12