Alex wants to measure the height of a tree. Alex walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. How tall is the tree

Tree is 64.90 ft tall !

Step-by-step explanation:

We have , Alex wants to measure the height of a tree. Alex walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. We need to find How tall is the tree . Let's find out:

According to questions we have following dimensions for a right angle triangle:

, where x is angle from the ground to the top of the tree

In right angle triangle ,

⇒

⇒

⇒

⇒

Therefore , Tree is 64.90 ft tall !

your answer would be 10x - 1

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.