Afountain is located between two trees. each tree has a height of 60 feet. the angles of elevation from the base of the fountain to the top of each tree are 64° and 48° as shown below. what is the horizontal distance between the two trees (rounded to the nearest foot) a 40 b 837 c 147 d 190 ft

The answer is:

The correct option is:

B) 83 feet

To solve the problem, we need to use the following trigonometric identity:

Which, translated to our problem, will be:

We are given two triangles, and we know their height and their angles between their hypothenuse and their bases.

So,

For the first triangle, we have:

So, using the trigometric identity of the tangent, we have:

Therefore, we have that the base of the first triangle is equal to 29.27 feet.

For the second triangle, we have:

So, using the trigometric identity of the tangent, we have:

Therefore, we have that the base of the second triangle is equal to 54.05  feet.

Now, to calculate the horizontal distance between the two trees (x), we need to use the following formula with the obtained values of both triangles:

Hence, we have that the distance between the two trees rounded to the nearest foot is 83 feet.

Have a nice day!

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.