# math

posted by .

Kate and John both are 100 m far away from each other. They both are 1.5 m tall. They flagpole are somewhere between them. Kate looking up the flagpole at the angle of elevation of 25 degree while John looking at 60 degree. How far the flagpole they both standing and how tall the flagpole?

• math -

Consider the height h of the pole above their eyeballs.

Let Kate be x meters from the pole

h/x = tan 25°
h/(100-x) = tan 60°

x tan 25° = (100-x)tan 60°
.4663x = 173.205 - 1.7321x
2.1984x = 173.205
x = 78.79

So, Kate is 78.79m from the pole and
John is 21.21m from the pole.

h = 78.79 tan 25° = 36.74

so, the pole is 36.74 + 1.5 = 38.24m high (assuming their eyeballs are on top of their heads...)

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### MATH TRIG

FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A FLAGPOLE IS 18 DEGREES. dETERMINE THE HEIGHT OF THE FLAGPOLE.(NEAREST TETH OF A M. mY CONFUSION IS ANGLE OF DEPRESSION AND ANGLE OF ELEVATION. mY TECHER CALLS FROM TOP …
2. ### Algebra

In 1915, the tallest flagpole in the world was in San Francisco. a. When the angle of elevation of the sun was 55 degrees, the length of the shadow cast by this flagpole was 210 ft. Find the height of the flagpole to the nearest foot. …
3. ### maths

John wishes to determine the height of a flagpole. He takes a sighting of the top of the flagpole from point P. He then moves further away from the flagpole by 20 metres to point Q and takes a second sighting. Given the angle Q is …
4. ### Math

A 15 m flagpole stands on level ground. from point P, due west of the flagpole the angle of elevation of the top of the pole is 38 degrees. From point Q, due north of the flagpole, the flagpole has an angle of elevation of 25 degrees. …
5. ### trigonometric oblique triangle

a flagpole at a right angle to the hrizontal is located on a slope that makes an angle of 14 degree with the horizontal the flagpole casts a 16m shadow up the slope wen the angle of elevation from the tip of the shawdow to the sun …
6. ### Math: Angles of Elevation and Depression

the angle of elevation to the top of a flagpole is 40° from a point 30m away from The base of the pole.How high is the flagpole to the nearest meter?
7. ### Math

From the top of an 8m house the angle of elevation to the top of the schools flagpole across the street is 9 degrees The angle of depression is 42degrees to the bottom of the pole How tall is the flagpole
8. ### Trig

A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole?
9. ### Trig

A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole?
10. ### trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of …

More Similar Questions