# Tutor profile: Proggo P.

## Questions

### Subject: TOEFL

Despite her fear of heights, she was _______ to be so far up the mountain. A)dismayed B)unwilling C)ashamed D)thrilled E)alarmed

The occurrence of the word 'despite' shows that there is a contradiction within the sentence. A woman who has a fear for heights must normally be afraid to be far up in the mountain. But the use of the word 'despite' implies that, on the contrary, she was happy to be there. Among the choices, it is only the word thrilled' that has this meaning. So, (D) is the answer.

### Subject: SAT

What is the average of four tenths and five thousandths?

One tenths=1/10=0.1 Four tenths=0.1*4=0.4 One thousandth=1/1000=.001 Five thousandths=.001*5=.005 Now, average=(sum of given items)/number of items Here, given items are 0.4 and .005 So, their average=(0.4+0.005)/2=.2025

### Subject: Geometry

What is the are of an isosceles right-angled triangle whose equal sides are 2 units in length.

If a right angles triangle is isosceles the equal sides must be perpendicular to each other. In other words, the sides of equal length must include the right angle. So, if one of the equal sides is considered as the base, the other equal side will be the perpendicular height. So using the formula: Area of the triangle=1/2*(height of the triangle)*(base of the triangle) We get, Area of the triangle=1/2*2*2 Therefore, area of the triangle=2

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