# Tutor profile: Sierra M.

## Questions

### Subject: Trigonometry

From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35$$^\circ$$. Find the height of the tree to the nearest foot.

33 feet

### Subject: Geometry

In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60$$^\circ$$ less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

The values of the angles are 35$$^\circ$$, 35$$^\circ$$, 70$$^\circ$$, 220$$^\circ$$

### Subject: Algebra

Samuel tutors both mathematics and science. For science tutorials he charges $25 an hour and for mathematics he charges $30 an hour. Samuel wants to make at least $300. Write an inequality that represents this situation. Let $$x$$ represent the number of math hours he tutors and $$y$$ represent the number of science hours he tutors.

$$30x+25y\geq300$$

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