363,386 views
42 votes
42 votes
A man wants to cut down a tree in his yard. To ensure that the tree doesn't

hit anything, he needs to know the height of the tree. He measures his
distance from the tree at 16 meters and the angle of elevation to the tree at
63 degrees. What is the height of the tree?

User Brian Noah
by
2.7k points

1 Answer

12 votes
12 votes

Answer:

31.4 m

Explanation:

Tan of the 63 degree angle = opposite leg / adjacent leg

opposite leg is the height adjacent leg is 16 m

tan63 = height / 16

16 tan 63° = height = 31.4 m

User Raunak
by
2.5k points