The length of the shadow of a building is 120 meters, as shown below: the shadow of a building is 120 meters long. the acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 60 degrees. what is the height of the building?

Aline passes through the two given points. is it vertical , horizontal , or neither ? (5, 2), (-5, -2)

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

What are the solutions of the equation? 5z^2 + 9z - 2 = 0 a. 1, -2 b. 1, 2 c. 1/5, -2 d. 1/5, 2