Sound travels at 340 meters per second in air. (a) Find the distance traveled by sound in air in 7 seconds. Give your answer in kilometers.

In 7 seconds, sound travels ? kilometers.

(b) A boy clapped his hands near a cliff. He could hear the echo of his claps 3 seconds later. Find his distance from the cliff. (Remember an echo has to travel the entire distance and then back so you will need to divide by 2 before you give your final answer).

The boy is ? meters from the cliff.

A) 2.38 kilometers B) 510 meters

Step-by-step explanation:

A) 340 meters times 7 seconds = 2380 meters/1000 meters which is 2.38 kilometers

B) 340 meters per second times 3 seconds= 1020 meters/2= 510 meters

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.