trigonometry math

Question

The angle of depression from the top of a tower to the ground is 63 degrees. The line of sight from the top of the tower to the ground is 1519 feet.

How tall is the tower? Round your answer to two decimal places

A child is holding the end of a 20 meter string attached to a kit. The string has an angle of elevation of 79 degrees . Determine the elevation of the kite. Give your answer rounded to the nearest whole number in the first box and the units in the second box.

The kite is ____ ____ high.

Answer 1

T n-------------------------------------------------------------- C

n n

n n

n n

n n

n n

n n

nnnnnnnnnnnnn--------------------------------------------ground level

A B

Note that angles of depression and elevation will have the same measures.

Therefore, the depression angle CTB and elevation angle TBA have the same measure of 63°.

Line of sight, TB, is given and it is 1519 feet.

TAB is the right triangle.

TA is the height of the tower.

TB is the line of sight.

TBA is the angle opposite to TA.

TA/TB = sin(63º)

TA =TB•sin(63º) = 1519•sin(63º) = 1,353.44

Answer 2

Both these problems require simple trigonometry solutions...and they are quite similar.

You need to draw a figure for each one and the method should jump right out at you, then all you need is some arithmetic!

The first one: the height of the building = 1519 sin 63°.

You should figure out the 2nd one on your own!