Diana works in a building that is 130 feet tall. she is outside, looking up at the building at an angle of 37° from her feet to the top of the building.
if diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? round the answer to the nearest tenth of a foot.
10.3 ft
17.6 ft
30.2 ft
97.2 ft

Step-by-step explanation:

Givens

If we draw the situation, it would be like the one presented in the image attached.

To find the answer, we need to find the distance when the angle is 37° and the distance when the angle is 40°, to do so, we have to use the trigonometric reasons.

In this case, we have the angle and its opposite leg. In order to find the horizontal distance, we need to use the tangent

Then, the angle changes to 40°, but the height of the building remains the same obsviously

Now, we need to find the difference,

Therefore, the right answer is 17.6ft, the second choice.

answer: 140

step-by-step explanation:

so just add all then it will be your answer but i am not pretty sur eif it is but hope this i am here to people

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: