Achild looks up in front of himself and sees a hot air balloon in the sky. the angle of elevation from the child to the balloon is 52. the distance from the child to the spot of the ground directly under the balloon is 75 ft. how high is the balloon? (disregard the distance from the ground to the child’s eyes.)

Write the fraction or mixed number and the decimal shown by the model

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?