Harry is trying to calculate the height of a tower. he is standing 95 meters from the base of a tower. the angle of elevation from harry's position on the ground and the top of the tower is 35°. calculate the height of the tower to the nearest tenth of a meter.

a) 54.5 meters
b) 62.7 meters
c) 66.5 meters
d) 77.8 meters

C) 66.5 meters.

Step-by-step explanation:

Please find the attachment.

We have been given that Harry is standing 95 meters from the base of a tower. The angle of elevation from Harry's position on the ground and the top of the tower is 35°.

We can see from our attachment that tower, Harry and the angle of elevation with top of tower form a right triangle.

We can see that height of tower is opposite side and distance between Harry and tower is adjacent side for our given angle of elevation.

Since tangent relates the opposite side of a right triangle with its adjacent side.

Upon substituting our given values in above relation we will get,

Therefore, the height of tower is 66.5 meters and option C is the correct choice.

Step-by-step explanation:

Prime factorization

30 = 2 × 3 × 5

36 = 2² × 3²

HCF = 2 × 3 = 6