How would I do this one?

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89Á18'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

Question

04-11-2016
Mathematics

Answered

How would I do this one?

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89Á18'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

Verified Answer :

Related Questions

Which sentence does not contain any errors in punctuation or capitalization A The ATM at the bank was out of order B The atm at the bank was out of order C The

In pea plants the allele for yellow seeds is dominant to the allele for green seeds If a plant that has heterozygous yellow seed is crossed with one that has on

is the sun 240000 miles from earth

y is 2 less than the product of 9 and x write a function rule

Evaluate for m3 n 4 and p 2 7 mn 3 p2m

A student is asked to convert measurements from liters to milliliters and from milliliters to liters His answers are shown in bold in the choices shown below On

Which of the following does NOT characterize the period known as Postmodernism Question 1 options A An explosive growth of information technology B Influenced b

What is the answer to 1012 12

The total number of tourists to an amusement park in the past year is 12000000 when rounded to the nearest million The number of tourists is 11600000 when round

The bottom of the aquarium is 6 ft by 25 ftThe height is 4 ftMany square feet of glass was used to build the sides and the bottom of the aquiarium

MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-11-09T09:46:34-05:00

First we would need to make a diagram, and from the given it would seem like it is a right triangle with the height as 760 ft. We have an angle given 89°18' which would need to be converted to degrees form, which is 89.3°.

Now we would need to look for the ground distance, meaning the adjacent of the triangle. Since we have been given the angle and the height (which is the opposite side from the angle) we use the trigonometric function cotangent.

760 Cot [(89.3)∘]= 9.29 ft, that is the answer.

agaue agaue · Answer 2 · 2019-07-30T07:29:10-04:00

Answer:

The headquarters is 9 ft away from a point on the ground directly below the balloon .

Step-by-step explanation:

The height of balloon is 760 ft and the angle of depression is 89°18' = \(89 \frac{18}{60} =89.3\)°.

A right angled triangle is formed ( as shown in figure ) .Let x represent the distance of headquarters from a point on the ground directly below the balloon .

\(Tan 89.3=\frac{760}{x}\)

81.85 x= 760 .[ Tan 89.3= 81.85]

Dividing both sides by 81.85:

x= 9.3

Or x=9 ft ( rounded to nearest foot)

The headquarters is 9 ft away from a point on the ground directly below the balloon .

How would I do this one?From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89Á18'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

Verified Answer :

Related Questions

How would I do this one?

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89Á18'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?