The tower of a tower crane casts a shadow (on level ground) of 32 m when the sun is 55° above the horizon. what is the height of the tower?

45.7 meters.  

Step-by-step explanation:

Please see the attachment.

Let h be the height of the tower.

We have been given that tower of a tower crane casts a shadow (on level ground) of 32 m when the sun is 55° above the horizon.

We can see from our attachment that height of the tower will be opposite side to 55 degree angle and shadow of the tower is adjacent side to angle.

Since tangent relates the opposite and adjacent sides of a right triangle, so we will use tangent to find the height of the tower.

Upon substituting our given values we will get,

Therefore, height of the tower is 45.7 meters.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

6 meters

step-by-step explanation: