The shadow of a tower on the ground is found to be 45 m longer when the sun's altitude is 45° than
when it is 60°. What will be the height of the tower?
Find it.​

45 m.

Step-by-step explanation:

Let the length of the shadow when the suns altitude = 60 degrees be x m.

Then tan 60 = h/x    where h = height of the tower.

When the altitude is 45 we have:

tan 45 = h / (x + 45)

So

h = x  tan 60  and

h = tan 45(x + 45)  so

x tan 60 = tan 45(x + 45)

tan 45 = 1 so

x tan60 = x + 45

x tan60 - x = 45

x = 45 / (tan 60 - 1)

x = 25.98 m

So the height of the tower

h = 25.98 * tan 60

= 45 m.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: