Gabe is sitting in his boat and sees a famous building onshore which is known to be 250 meters tall. gabe sights the top of the building, and finds that the angle of elevation is 19°. about how far, in meters, is gabe from the base of the building? (disregard gabe's height from the water in your calculations.)

Question

09-06-2017
Physics

contestada

Gabe is sitting in his boat and sees a famous building onshore which is known to be 250 meters tall. gabe sights the top of the building, and finds that the angle of elevation is 19°. about how far, in meters, is gabe from the base of the building? (disregard gabe's height from the water in your calculations.)

Respuesta :

Otras preguntas

What causes changes in weather? a. Air masses move and meet. b. Water evaporates. c. The air gets more humid. d. Clouds form.

The sum of w and 54 is equal to s. Let s = 72. Which equation can be used to find the value of w? A. w – 54 = 72 B. w – 72 = 54 C. w + 54 = 72 D.

which type of display would be the most appropriate to compare the sales of 2 different stores for a ten year period? __________________________________________

The measures of two angles of a triangle are 36 degrees and 71 degrees find the measure of the third angle and classify the triangle according to its angles

the odometer on your family car reads 20186.7 after going 62.3 miles .how many miles were on the odometer before going 62.3 miles?

Line CA bisects angle TCB angle TCB=x+56 angle TCA=x-23 what is x?

What does it mean when a person is underemployed

Which one of the following choices best represents an advantage of cardiorespiratory fitness? A. Decrease in bone mass B. Decrease in fat stores C. Decrease i

The independent variable is ______________. Question 1 options: what you are testing out or changing. what you are measuring. what you keep the same.

Colors seen in images made from electron microscopes are

BlueSky06 BlueSky06 · Answer 1 · 2017-06-20T22:21:13+02:00

If we connect Gabe's current position to the top of the building, to the bottom of the building and back to Gabe, we form a right triangle with the height of 250 m and the angle opposite to the height being equal to 19°. If we let x be his distance from the building, we use the trigonometric formula,
tan 19° = x/250 m
The value of x from the equation is 86.08 m. Thus, the answer is 86.08 m.

Muscardinus Muscardinus · Answer 2 · 2019-06-18T11:16:25+02:00

Answer:

The distance between the gabe and the base of the building is 726.07 meters.

Explanation:

It is given that,

Gabe is sitting in his boat and sees a famous building onshore which is known to be 250 meters tall.

The angle of elevation, θ = 19°

We have to find the the distance between the gabe and the base of the building. From the attached figure, AB = height of building = 250 meters

BC = distance between the gabe and the base of the building

Using trigonometric equation as :

[tex]tan\ \theta=\dfrac{AB}{BC}[/tex]

[tex]BC=\dfrac{AB}{tan\ \theta}[/tex]

[tex]BC=\dfrac{250}{tan(19)}[/tex]

BC = 726.05 meters

So, the gabe is 726.05 meters away from the base of the building.